The Blogs: An After #613 Enigma

Counting the Omer (these days) got me ‘thinking’ about numbers, specifically about Six-Hundred-Thirteen (TaRYaG): the number of Mitzvot in Torat Moshe → according to a longstanding (ancient) oral tradition -and- according to various assorted old (but not ancient) textual references (such as: Bavli: Makkot 23b-24a) ⇒ albeit various much more recent (less than a millennia old) scholarly catalogs of ‘original’ Torat Moshe Status Mitzvot (trying to compile The TaRYaG List) differ about which to include, and which to exclude; with MOST ‘eventually’ arriving at 613.

NOTE: These difference are quite reasonable, since precise ‘deciphering’ of Torat Moshe Hebrew includes almost unimaginable Logical & Linguistic complexities – even for Our Greatest Rabbis (in Every generation); while in deferential comparison, (Spoiler Alert) ‘An After #613 Enigma’ (at this essay’s end – before the Postscript) is quite simplistic, conceptually trivial, and of negligible psycho-spiritual consequence.

WARNING: The forthcoming (minimalist) ‘Hashkafa’, ‘Mitzvah’, ‘Hechsher Mitzvah’, and ‘Middot’ ‘definitions’ are according to MY often ‘superfluous’ understanding; likewise ‘Halacha’ (as I ‘re-defined’ in https://www.derondareview.org/TorahTechnology.pdf); -also- regarding Biblical Hebrew -and- (my unauthorized incomplete) ‘fleeting’ characterizations of TORAH -and- of G?D? (in https://blogs.timesofisrael.com/mishnah-tehillim-gd-and-our-now/). Accordingly, since my eclectic ideations (and definitions) are merely spontaneous declarative conjectures ⇒ For ANY & ALL Actual Life circumstances’ Decisions (mundane -or- critical), please discuss them (before, during, and-even after) with Your Rabbi!

Relax: (…‘even’ if Your Rabbi just ‘wound up’ being a Rabbi for reason ‘apparently’ less-than ideal and/or even if Your Rabbi is so very tired of being a ‘social worker & family therapist’ rather than being able to focus ALL Life, Mind, Time efforts on Becoming an ever maturing Sifrei Kodesh enlightened Scholar) IF your Rabbi is (in any ‘Significant’ way) uncertain regarding what is Halacha’s ‘Best Life Practices Advice’ answer for Your Decision-Question (and/or your other ‘serious’ Life-relevant Practices-or-Belief ‘curiosities’), THEN your ‘issue’ will acquire share ‘responsibility’ with other (equal or greater) Rabbis, Teachers, and/or Relevant ‘Experts’ (such as Medical Doctors, Lawyers, Engineers, etc.); who in turn (as necessary) will ‘propagate’ your issue through Our almost-bidirectional Living Practical Rabbinic Wisdom Network – which is (forever) including The ‘Active Memory’ of Our Entire ‘Knowledge’ Base ⇒ until a Timely response to Your concerns is delivered to You -and- to any Active Beneficial Parties who may ‘require’ awareness of your situation (and –if helpful– including the Authorized Rabbinic Decision ‘Advice’ LEVEL).

Behold: ALIVE, ‘atop’ the instant-present NOW’s Living portion of this Network, are Torah Giants: amazing awe-inspiring individuals. I used to ‘reasonably’ expect that their having internalized seeming endless intricacies of Hashkafa (‘preferred’ mutually-consistent metastable ‘sustainable survivability combinations’ of Torah & Halacha) should certainly cause their individual personalies to be ‘dissolved’ into the ‘Collective Ideation’ of the much (much) larger population of Our Sages (of Blessed Memory). Having been granted rare opportunities to meet, study, and ‘converse with’ (more than a few of) such awesome Scholarly Torah Masters, I am always continuously shocked to notice seemingly endless unique differences in their respective personality presentations, embracing authoritarian postures, analytical explication styles, etc. By comparison, we of virtually the same generation (certainly of the same Epoch) are the ones who are most identical to eachother; having only developed relatively minor shades of variations, nuances, and opinions. THUS, even for what WE might imagine to be the simple task ‘of identifying 613 Torat Moshe mitzvot’, Torah Giants come to respectively different criteria as to what is a Mitzvah (obligatory ‘Halacha’ instantiation of ‘Best Life Practices Advice’ → for Positive awareness & actions leading to increased realizations of greater success satisfaction -and- for Negative limits preventing degradation of decision criteria & eventual ‘autoimmune’ life-style intoxication) -and- what is a Hechsher Mitzvah (necessary preparation to perform a Mitzvah). Easily to appreciate Hecher Mitzvah examples include: Baking Matzah in order to be able to perform the mitzvah of Eating Matzah (on Pesach) -and- Building a Sukkah in order to perform the mitzvah of Sitting in a Sukkah (during that festival).

Incidentally: I recall “GaOwn HaDoor” Aharon Chaim HaLevi Zimmerman A”H explaining a forever thereafter obvious example of a ‘plain obvious’ Torat Moshe Mitzvah that is NOT among TaRYaG – being the Sinai-Generation’s limitations & obligations regarding collecting & eating Manna (Historically: weekday edible morning ‘dew’ condensate – during Our collective national ‘ancient traversal’ from Egypt to Israel); since a Torat Moshe Status Mitzvah must be for All Time, while ‘mitzvah’ details regarding The Manna were only for that generation. NOTE: It is impossible for me to guess if this ‘example’ was Rav Zimmerman’s or from idunno → since he had such astoundingly enormous erudition that I only once heard him answer a question (mine?) in the first person; and Everywhere Else he ‘just’ called for one of the thousands of Authoritative Halacha Commentary books (in his home – where I usually listened to his real-time ‘public’ learning), turned to the appropriate page (which he ‘also’ knew from memory), and read That Author’s answer to that questioner’s query. Nevertheless, having observed his ‘Instant Responsa’ style, I strongly suspect that he knew numerous possible answers to each question, and then consciously picked one that ALSO resonated with ‘inner motivational issues’ of whoever asked the question (probably? Mine Too!). I have also been told (by people witnessing) stories of him pouring out countless explicit quotes (from innumerable ‘famous’ and more-obscure authoritative Halacha sources) during interactive ‘discussions’ with other Torah Giants; until they respectfully (publicly) resigned themselves as (politely) → needing to go back – to re-study whatever issue in greater depth ⇒ having obviously appreciated their respective ‘lack’ of substantial Torah/Halacha prior study & consideration (Compared to His).

Returning to TaRYaG → It may be that this ‘613’ number (of Torat Moshe mitzvot) was derived from (awakening considerations of) oblique Aggadah subtleties (allegorical ‘expressions’ – hinting at some esoteric-or-delicate Life appreciation-or-cautionary aspect); which eventually ‘migrated’ into (performative) Halacha reasoning; nevertheless, it is established Halacha today -and- Status differentiation is an extremely necessary aspect used for resolving comparative classification ‘Levels of Strictness’ and ‘Dissonance Resolution Protocols’ between (and among) ‘basic’ Torat Moshe mitzvot, assorted ‘strata’ of Rabininc injunctions, and spurious ‘established’ Minhagim (customs & enhancements).

For example, the other day – I actually (privately) ‘disagreed’ with Our (local synagogue’s) Exceedingly Scholarly Rav’s interesting discourse: a juxtaposition of Sefirat HaOmer as either being one of these original TaRYaG -or- being a Rabbinic ‘injunction’; since by my haphazard reckoning, this ‘counting’ seems to be either: neither -or- both! My unauthorized & uncertified ‘suspicion’ is that this daily numeration is ‘more’ of a Hechsher Mitzvah (another example: a necessary preparation for ‘Actually’ Bringing THE Omer – Mitzvah performed on Shavuot) which, by becoming a custom (even in the Tanakh era), has taken on a Status: at least equal to a Rabbinic ‘commandment’; thus neither (it is a Hechsher Mitzvah) -or- both (it is one of TaRYaG -and- by virtue of TaRYaG doubt → also a Rabbinic injunction). In that my Halacha Status ‘conjecture’ had no instant significance to any ongoing situation, I guess that my ‘neither -or- both’ perception will ‘just – sort of’ percolate around and/or through The Network (until an authoritative source is found – that already discussed my indeterminacy).

[OFFICIAL NOTICE: I am NOT (?nor have I ever been?) a voting member of Our virtual trans-generational Halacha Decision Making ‘forum’; nor do I aspire to such Responsibility.]

613 Prime

Meandering onward, my thoughts (these days) wandered far (FAR) away from Halacha Status assignments, by simply noticing that 613 is a Prime Number; and here begins my perhaps Torah-Irrelevant musings:

Background: Having given rise to counting & arithmetic, perhaps The Oldest ‘Branch’ of Mathematics is ‘Number Theory’, which ‘eventually’ began to ‘explore’ Prime Numbers; an ‘intellectual curiosity’ that Already had a place in Paleolithic quantitative research (apparently – but not definitively) evidenced from Palaeolithic ‘tally sticks’ – like the Ishango Bone. Later, but still Before the Bronze Age, ‘Number Theory’ gave rise to the Decimal System (in India and in China); likewise, Early Bronze Age hieroglyphs ‘portray’ its use in Egypt. The Decimal System led to invention & development of the ‘Abacus’ (analog computer), while other computational systems & machines (way Way WAY back then) included an Antikythera mechanism, earlier sexagenary cycle Chinese Lunisolar calendar, much earlier Sumerian & Babylonian Sexagesimal ‘tables’ (for ‘rapid’ computation), respective prior-art mathematics (referenced in Bakhshali manuscript), etc.; all contributing to considerations included in today’s digital-electronic & q-bit quasi-analog ‘computers’ (and – just as always – in assorted philosophical & pseudo-mystical speculations).

⇒ Now, having NO special Torah/Mitzvot significance whatsoever (that I am aware of) – but maybe being a thought-experiment curiosity regarding some pre-ancient antecedents of ‘Number Theory’ ⇒ Just for Fun (while ‘trying to think’ as a math student might have during ‘Matan Torah’ times – middle Bronze Age): ‘613’ is the start of a beautiful ‘Enigma’ – perhaps even the answer to an entrance interview question → given to an applicant for study in a Bronze Age ‘Pure Mathematics’ Department.

Patience: Details of an ‘After #613 Enigma’ are given later on (before the still-distant Postscript).

A FIRST (perhaps only) ‘answer’ for this Beautiful ‘Enigma’ resides within convergent properties based upon sequential prime triplets (7, 11, 13) ⇒ since 613 is the seventh prime having adjacent prime number digit-pair “13” (13, 113, 131, 137, 139, 313, 613) → Thus a 7 → 13 relationship -AND- given that digits 6+1+3=10 → 613 is also the thirteenth prime having digits that add up to “10” (19, 37, 73, 109, 127, 163, 181, 271, 307, 433, 523, 541, 613).

⇒ (incidentally) ALL ‘this’ seems to vaguely resemble A Very Long ‘Series’ of later mathematics ‘Enigma’ observations, conjectures, theorems, and proofs – about bounding, patterning, and searching for Prime Numbers; such as Eratosthenes Sieve, Klauber Triangle, Ulam spiral, Sacks spiral, …, Yitang Zhang’s Theorem; AND many (quite recent) Lucrative Applications; such as for Data-Set Hashing & Compression, Public-Key Cryptography (for Internet & Online Transaction Security), Error-Correcting Codes, Imaging Processing, https://patents.google.com/?q=(%22prime+numbers%22)&oq=%22prime+numbers%22&clustered=true, and SETI(??$?).

Caution: Numerical Enigmas, Riddles, Puzzles, and Problems ‘often’ distract us from ‘more significant’ (?) matters.

Anyway: WHEN you are ‘trying’ To Teach Torah/Mitzvot, and too many students are lost or losing interest or looking “outside”, THEN maybe stop – AND let all of your students contemplate, search for, discover, and discuss ALL kinds of other interesting (to them) “non-random” quantities, units, measurements, dimensions, and relationships in Torat Moshe, etc. Freely exploring mathematical reasoning is GOOD for young minds, a necessary diversion from other (highly important – albeit typically ‘more’ qualitative logic) Halacha subjects, and actually prepares students to engage in mathematical-type reasoning found in various Mishnah Tractates, etc. – which seem to have ‘fallen out’ from (most) Yeshivah studies. [B”H …still hoping to post a listing of such examples in a future Blog.]

TODAY: “Random Number Generation” Algorithms remain an unsolved problem, even when merged with streaming ‘ever changing’ physical sensor measurements of ‘cosmic background noise’; thus, (incidentally) also a ‘curious’ problem for all current Quantum Computing ‘q-bit machines’ ⇒ which brings us to another ongoing (Halacha Irrelevant?) clash of ideation: where Prime numbers have NOT been proven to be Random – NOR have they been proven to be Predictable. Actually, while lots of observable world measurements seem to have predictable aspects (indicating causal relationships), many (many) more are apparently intractable to separation of variables (sufficient to ‘appear’ Less Than random); IF in fact there is such a thing as Random? Well, at least that last interrogatory-ending (Actually) sentence is a curt capsule summary of (quasi-recursive Processes in) The History of Science; engaging in an ongoing ‘battle’ (to discover Predictable boundary value perturbation functions in Isolated Systems) ⇒ to breach ‘invisible ramparts’ of Observable Computational Complexity (NP-complete, NP-hard, etc. – yes – there will be more!).

Seriously: What is Random, is there such a ‘thing’ as Random, why should there be any Random anything; since that would indicate an exception to causality. Feels like a reincarnation ‘analogy’ to ‘Super-Natural’ (transcendent? manifestations?) – which is ‘just’ another example illustrating unwillingness to accept that we are not All Knowing (not even close)! Even OUR respect for ‘miracles’ appreciates that these rare (unique – ‘probably’ once in the ‘history’ of the ‘universe’) occurrences are happenings in a ‘right place’ and in a ‘right moment’ – for an individual – thus very much more so when they ‘pop up’ for an entire Nation (Israel’s spectacular Moshe-led dry-escape sea-thru exit, etc.). Implicitly, ‘miracles’ are nevertheless somehow built into Nature’s ‘fabric’ → with all ‘other’ observed or evidentiary instances being classified as ‘unique’ Natural phenomena (meaning not ‘yet’ sufficiently reproducible → to be adapted as a technology).

OUR entire Belief ‘system’ (every aspect of it) is based upon an acceptance of Causality (in the ‘simpler’ external active world of Nature) -AND- that a majority of personal ‘Reward & Retribution’ resides in Our having to Live with Ourselves ⇒ I celebrate my feeling alive according to how much GOOD I have found opportunity to accomplish -and- I suffer my feeling alive according to how much ‘wrong’ I have consciously chosen to enact. Likewise, as a Nation → Our joys & celebrations are the result of Our (sometimes paltry) mitzvot AND to a much (Much) greater extent upon the Merits of Our Ancestors; while Our sorrows & tragedies are neither ‘punishments’ nor the (direct) result of Our ‘sins’ and/or/nor the ‘sins’ of Our Ancestors ⇒ by reason that the complexity of causality in the mind (inclusive of education) spans more than the instant present now of external ‘action & reaction’ Nature. (see https://blogs.timesofisrael.com/silent-mind-inner-voice/ – where iterative Mature analysis -and- often appropriate Rejection of ‘victim guilt’ are discussed)

Modestly stated: There are TWO different ‘time’ scales: One TIME is a ‘mostly’ external ‘f(t)’ time in Nature – which includes both Laws of direct causality which have been discovered & parameterized -and- higher complexity ‘systems’ which have not – and perhaps never will be – reduced to separable simultaneous f(t) causality topologies; and The Other TIME is a ‘mostly’ internal ‘m(t)’ time in the mind – which include cumulative adaptive convolutions of gestation, experience, and education; ‘traditions’ of thought & action, prior knowledge & understanding, cumulative relevance & renewal; etc. ⇒ THUS two ‘partially’ Intersecting types of ‘TIME’ -and- of Interacting ‘causality’. (Further discussion – in the Postscript)

Finally (in this moment), for those interested in breaking a chicken-and-egg entanglement-loop between Neurobiology and Information Science (each ‘inventively’ borrowering a next explanation-model from the other), here is a ‘crack’ in the shell of that incestual academic cycle. Neurobiology (today) is an explosion of research-derived knowledge (EEG, MRI, synapse, myelination, etc.) – which try to ‘intertwine’ our totally over-simplified models of macro-meso scale ‘systems’ (of thought & action) -with- our attempts to scale up our clinical observation of ongoing mini-micro scale electrochemical & hormonal events (localized) in ‘fragments’ of those ‘systems’. Simplified: Input-Process-Output in macro-empirical Neurobiology (trying to ‘grasp’ thought and/or consciousness) always has a large complexity-awesome topological bulge at ‘Process’ (the Brain is BIG -and- the rest of that same organism’s Neuroanatomy is comparatively tiny) – while technological (computer systems – including AI) Information Science always is ‘struggling’ with a respective bottle-neck (constriction) at ‘Process’ ⇒ Giant Hyperscale (Extra-Terrestrial Size) Data Processor ‘Clouds’ are never big enough. (Enough ‘here’ – for those of-this-now who need to understand.)

[After a long pause] Guessing that last long paragraph (of I don’t know, we don’t know, and it might be of too great a complexity to ‘ever’ be knowable) should HELP transport us on a return to honest humility & stability; to do some serious work on Our respective Middot (ethical empathetic personality traits -and- ‘appropriate’ associated speech-or-silence, action-or-restraint, etc.); to solicit, discuss, contemplate, and accept constructive criticism; to continue Our Torah ‘enlightenment’ appreciation progress; etc. -or- (well → ‘and/or’) to Introspectively Contemplate examples, orientations, and suggestions in The Siddur* (and ‘elsewhere’ in Sifrei Kodesh) as much more than the easier (for some) inclination to ‘review’ (recite) these texts as being directed ‘G?D? Centric’ projections (again, for ‘definition(s)’ of G?D? – see https://blogs.timesofisrael.com/mishnah-tehillim-gd-and-our-now/). *The Siddur: usually translated as Our ‘Prayer Book’ → perhaps is more appropriately rendered as Our (renewable) ‘Life Orientation Organizational Perspective(s) Book’ ⇒ which can only be appreciated as such when thinking about various multi-dimensional ways that these Hebrew words convolve concepts, exemplifications, and instantiations → thus NOT ‘G?D? Neutral’ Accessible in translation whatsoever! [Likewise, deep life-mature HEBREW language understanding (Not Translatable Whatsoever) is Absolutely Essential for all of OUR holistic quasi-holographic to-LIVE-by study-&-teach psycho-drama-like MITZVAH experience-renewals: as similarly exemplified by OUR annual cycle of Torat Moshe ‘study’, OUR recurring annual reviewing ‘booklets’ (Megillot, Haggadah, etc.) ‘readings’, etc.]

NOW, sincerely hoping to bring YOU-All back From looking far-far-away at YOUR “outside” (and at the above writings) To looking deeper-deeper-into OUR omnipresent “inside” (The Mind) of Torah, Halacha, and Mitzvot (in ‘Every Day’ everyday Life) -and- moving forward to another day of Sefirat HaOmer; with whatever different orientation (of inquiry, thought, and learning) → comes next.

An After #613 Enigma

Anyway (?), if & when you ABSOLUTELY need another distraction: Given three respectively consecutive primes (A, B, C) [like 7, 11, 13] – just like 613 is the (A) 7th prime number having ‘embedded’ adjacent prime number digit-pair (C) “13” (13, 113, 131, 137, 139, 313, 613) -AND- 613 is also the (C) 13th prime number having digits that sum (6+1+3) “10” ⇒ (19, 37, 73, 109, 127, 163, 181, 271, 307, 433, 523, 541, 613) → I tried to look at other (A,B,C)s <some ‘DATA’ after the ‘Postscript’> and found the following:

(1,2,3) → 1st with embedded 3 is 3 which is the 1st prime with digits sum 3

(2,3,5) → 2nd with embedded 5 is 53 which is the 2nd Prime with digits sum 8

(3,5,7) ⇒ 3rd with embedded 7 is 37 which is the 2nd Prime with digits sum 10

(5,7,11) ⇒ 5th with embedded 11 is 811 which is the 15th Prime with digits sum 10

(7,11,13) ⇒ 7th with embedded 13 is 613 which is the 13th Prime with digits sum 10

(11,13,17) ⇒ 11th with embedded 17 is 1723 which is the 26th Prime with digits sum 13

(13,17,19) ⇒ 13th with embedded 19 is 1619 which is the 24th Prime with digits sum 17

(17,19,23) ⇒ 17th with embedded 23 is 2309 which is the 36th Prime with digits sum 14

-AND- since there is no such thing as Random, (just wondering) what are the formulas for the sequences: {3, 53, 37, 811, 613, 1723, 1619, 2309, …?}; (1, 2, 2, 15, 13, 26, 24, 36, …?}; and {3, 8, 10, 10, 10, 13, 17, 14, …?} -OR- for the ‘shape’ from the sequence of respective coordinates: {(3,1,3), (53,2,8), (37,2,10), (811,15,10), (613,13,10), …?} ⇒ EACH ‘feels’ Random, while NONE are Random (since they have been generated by an algorithmic process – related to ‘progressive’ sequential prime triplets).

NOW: The post-613 Enigma Question ⇒ What are the next prime numbers ‘X’ (respectively of ‘y’ digits) – generated by a prime triplets sequence (A*,B*,C*) having ‘similar’ to the dual occurrence like exemplary “613” (?): being the A*th prime having embedded sequential digits identical to the y-1 ‘lower’ digits of X -AND- being the C*th prime whose digits add up to the same sum as do the digits of X ? → → Please Share: How YOU defined the properties of “613” (as I have? -or- otherwise?) -and- Your result(s); ALSO ⇒ IF this specific distraction is taking you more than a modest moment of Your LIFE Valuable f(t) & m(t) contemplation, THEN (please) maybe just come back to it again – when you feel another ‘need’ for a distraction …

Postscript

One of the most profound ‘general’ conundrums (‘scientific’, ‘technological’, and ‘mystical’) is if-OR-how a NEW idea comes into the mind. Professionally, interviewing inventors and researching inventions, I have been blessed to contemplate this problem; one ‘specific’ example at a time -and- to occasionally wonder about ‘innovation’. While the vast majority of inventions seems to derive from a confluence of [m(t)*m(t) -or- m(t)*f(t)] ‘internal’ ideations (even when ‘sparked’ by a happenstantial observation of an object, interaction, or process of Nature), they apparently are evidence of a sudden shift ‘event’ where the mind experiences an alternate expectation awareness moment (or an initiated sequence of implications), and is active enough to preserve & expand that ‘surprise’ exemplary convolution (in some ‘simplified’ articulate or graphic or musical or topological or emotional form).

Thus, regarding differentiation of two kinds of ‘time’ (described above), specifically when looking at Nature’s (apparently ongoing instant now) time: f(t) compared to the Mind’s (potentially integral with prior minds’) time: m(t), I wondered if this is a NEW idea; and an answer is (at least) ‘not exactly’ – since this resembles an ‘inspired’ anthropomorphic transformation of a (greatly simplified) String Theory model → wherein a macro-dimension f(t) – has ‘attached’ a ‘curled up’ nano-dimension m(t) ⇒ apparently having different scales of interactions between an m(t) plurality (of thoughts) than those between m(t) & f(t) (mind with matter interactions). Likewise, just as entanglement among an m(t) plurality seems not guaranteed to be ‘forever’ (apparently, over multi-millennia, being both subsumed and/or having a sort of half-life – albeit with an astounding speed of propagation), I expect that (theoretical & experimental) subsumption, half-life, and propagation will also prove to be the case for quantum entanglement in the f(t) domain; among many other ‘forthcoming’ alterations & modifications to ALL ongoing (ever too complex) over-simplified conceptualization-limited Models of Nature: Life, Mind, and Time.

Of course, some-or-many qualitative thinkers (philosophers, poets, ‘psychologists’, preachers, etc.) will invert this to be: m(t): a macro-dimension -and- f(t): a ‘curled up’ nano-dimension (Mind ‘over’ Matter); however I hope that all ‘at least’ agree to delicate asymmetry — when comparing interactions between an m(t) plurality -and- those between f(t) and m(t) — even though there is still not more than a fragile consensus regarding ‘invariance’ interactions between an f(t) plurality; inclusive of ‘apparent’ ever emerging ‘parity violation’ experimental evidence → which seems to eventually lead to yet another more modern ‘next level’ conservation of something model, etc.

Anyway, this Postscript is ‘just’ another kind of distraction; since (thus far) day-to-day’s worst case scenario [Mishnah Avot 4.1] is that we at least have Free-Will To Choose: Being happy with Our (personal) portion ⇒ and it seems that A Better than worst-case scenario is often possible too!

Abstracted: OUR unModern generation’s Reflexively asymmetric 613 Prime dissonant ideas reflect millennia quasi-invariance. Distilled: (Literally compressing Kübler-Ross models into a single aspect) ‘Acceptance’ is a necessary base-line of human experience – specifically Acceptance of Halacha Status according to a majority of Our Sages (indicating no disagreement opinions regarding f(t) factual Existence). Thus, Our ‘Best Life Practices Advice’ ongoing m(t) protocol (The Halacha) consists of a long-life repeating series of ‘Acceptance’ steps; EACH affirmatively (always) electively-entangled with ‘Gratitude’ (in every waking moment of consciousness) for having been given The m(t) Gift of being Alive.

(→ generated Manually) DATA (>Please< comment: if there is an Error!)

(3,5,7) ⇒ 3rd with embedded 7 is 37 [7, 17, 37] which is the 2nd Prime with digits sum 10 [19, 37]

(5,7,11) ⇒ 5th with embedded 11 is 811 [11, 113, 211, 311, 811] which is the 15th Prime with digits sum 10 [19, 37, 73, 109, 127, 163, 181, 271, 307, 433, 523, 541, 613, 631, 811]

(7,11,13) ⇒ 7th with embedded 13 is 613 [(13, 113, 131, 137, 139, 313, 613)] which is the 13th Prime with digits sum 10 [19, 37, 73, 109, 127, 163, 181, 271, 307, 433, 523, 541, 613]

(11,13,17) ⇒ 11th with embedded 17 is 1723 [17, 173, 179, 317, 617, 1117, 1171, 1217, 1709, 1721, 1723] which is the 26th Prime with digits sum 13 [139, 157, 193, 229, 283, 337, 373, 409, 463, 571, 643, 661, 733, 751, 823, 1093, 1129, 1237, 1291, 1327, 1381, 1453, 1471, 1543, 1721, 1723]

(13,17,19) ⇒ 13th with embedded 19 is 1619 [19, 191, 193, 197, 199, 419, 619, 719, 919, 1019. 1193, 1319, 1619] which is the 24th Prime with digits sum 17 [179, 197, 269, 359, 449, 467, 557, 647, 683, 719, 773, 809, 827, 863, 953, 971, 1097, 1187, 1259, 1277, 1367, 1439, 1583, 1619]

(17,19,23) ⇒ 17th with embedded 23 is 2309 [23, 223, 233, 239, 523, 823, 1123, 1223, 1231, 1237, 1423, 1523, 1723, 1823, 2237, 2239, 2309] which is the 36th Prime with digits sum 14 [59, 149, 167, 293, 347, 383, 419, 491, 509, 563, 617, 653, 743, 761, 941, 1049, 1193, 1229, 1283, 1319, 1373, 1409, 1427, 1481, 1553, 1571, 1607, 1733, 1823, 1913, 1931, 2039, 2129, 2237, 2273, 2309]