{"query": "Primes and zeta — Euler's bridge and the prime number theore", "count": 20, "results": [{"id": "card_n_639fcf317634", "title": "Primes and zeta — Euler's bridge and the prime number theorem", "shelf": "science", "surface": "secular", "snippet": "Euler tied the primes to the continuum: zeta(s) = product over primes of 1/(1-p^-s), so a\nstatement about ALL integers becomes a statement about the primes. Sealed: there are exactly 25\nprimes below 1"}, {"id": "card_n_ebe4c25c22ae", "title": "The Riemann hypothesis — sealed all around, refused at the center", "shelf": "science", "surface": "secular", "snippet": "The deepest open question about the primes, and the cleanest demonstration of the engine's\nhonesty. The FACTS seal: zeta(2)=pi²/6 (Basel), zeta(4)=pi⁴/90, zeta(6)=pi⁶/945, zeta(-1)=-1/12,\nthe trivial "}, {"id": "card_n_ea9e3f380756", "title": "The primes and the nucleus — one statistical fingerprint", "shelf": "science", "surface": "secular", "snippet": "The night's deepest rhyme, and it is real, published, and unexplained. Montgomery (1973)\nand Dyson noticed that the SPACINGS between the Riemann zeta zeros follow the same distribution\nas the eigenval"}, {"id": "card_n_b1436f2d5b2a", "title": "Augustine, Confessions §aug_conf_05_005: But they knew not the way, Thy Word, by Whom Thou madest these things which t...", "shelf": "classics", "surface": "witness", "snippet": "But they knew not the way, Thy Word, by Whom Thou madest these things which they number, and themselves who number, and the sense whereby they perceive what they number, and the understanding, out of "}, {"id": "card_c_7febc4af1c46", "title": "Primes and zeta instantiate the Riemann assay", "shelf": "connections", "surface": null, "snippet": "The prime side of the hypothesis."}, {"id": "card_n_48f380838b48", "title": "The perfect numbers — six days and a month", "shelf": "science", "surface": "secular", "snippet": "6 is the first perfect number — equal to both the sum AND the product of its parts\n(1+2+3 = 1×2×3), sealed — and the days of creation's work. The second perfect number is 28\n(1+2+4+7+14), sealed — a m"}, {"id": "card_n_22287c2f7117", "title": "Easton: Seven", "shelf": "dictionary", "surface": "secular", "snippet": "This number occurs frequently in Scripture, and in such connections as lead to the supposition that it has some typical meaning. On the seventh day God rested, and hallowed it (Gen. 2:2, 3). The divis"}, {"id": "card_n_8603329d496d", "title": "Easton: Census", "shelf": "dictionary", "surface": "secular", "snippet": "There are five instances of a census of the Jewish people having been taken. (1.) In the fourth month after the Exodus, when the people were encamped at Sinai. The number of men from twenty years old "}, {"id": "card_c_abb634506785", "title": "The zeta zeros rhyme with nuclear energy levels", "shelf": "connections", "surface": null, "snippet": "Same GUE spacing statistics — primes and heavy nuclei. RESONANCE, unexplained, never unity."}, {"id": "card_n_ad13fee569a5", "title": "Easton: Tyropoeon Valley", "shelf": "dictionary", "surface": "secular", "snippet": "(i.e., “Valley of the Cheesemongers”), the name given by Josephus the historian to the valley or rugged ravine which in ancient times separated Mount Moriah from Mount Zion. This valley, now filled up"}, {"id": "card_n_176a23fcdf47", "title": "Aurelius, Meditations §aur_09_xxix: From some high place as it were to look down, and to behold here flocks, and ...", "shelf": "classics", "surface": "secular", "snippet": "From some high place as it were to look down, and to behold here flocks, and there sacrifices, without number; and all kind of navigation; some in a rough and stormy sea, and some in a calm: the gener"}, {"id": "card_n_2318f18778f0", "title": "Martyrdom of Polycarp XIV", "shelf": "patristics", "surface": "witness", "snippet": "They did not nail him then, but simply bound him. And he, placing his hands behind him, and being bound like a distinguished ram [taken] out of a great flock for sacrifice, and prepared to be an accep"}, {"id": "card_n_490310825876", "title": "1 Clement II", "shelf": "patristics", "surface": "witness", "snippet": "Moreover, ye were all distinguished by humility, and were in no respect puffed up with pride, but yielded obedience rather than extorted it, and were more willing to give than to receive. Content with"}, {"id": "card_n_1c110bca64f3", "title": "Barnabas VIII", "shelf": "patristics", "surface": "witness", "snippet": "Now what do you suppose this to be a type of, that a command was given to Israel, that men of the greatest wickedness should offer a heifer, and slay and burn it, and that then boys should take the as"}, {"id": "card_n_955fa679fc0d", "title": "Augustine, Confessions §aug_conf_05_018: Thou recoveredst me then of that sickness, and healedst the son of Thy handma...", "shelf": "classics", "surface": "witness", "snippet": "Thou recoveredst me then of that sickness, and healedst the son of Thy handmaid, for the time in body, that he might live, for Thee to bestow upon him a better and more abiding health. And even then, "}, {"id": "card_n_344369a8ded5", "title": "Augustine, Confessions §aug_conf_05_007: Doth then, O Lord God of truth, whoso knoweth these things, therefore please ...", "shelf": "classics", "surface": "witness", "snippet": "Doth then, O Lord God of truth, whoso knoweth these things, therefore please Thee? Surely unhappy is he who knoweth all these, and knoweth not Thee: but happy whoso knoweth Thee, though he know not th"}, {"id": "card_n_86cd9a1e1fce", "title": "Easton: Gideon", "shelf": "dictionary", "surface": "secular", "snippet": "Called also Jerubbaal (Judg. 6:29, 32), was the first of the judges whose history is circumstantially narrated (Judg. 6-8). His calling is the commencement of the second period in the history of the j"}, {"id": "card_n_aa9b6a63ef20", "title": "Easton: Edrei", "shelf": "dictionary", "surface": "secular", "snippet": "Mighty; strength. (1.) One of the chief towns of the kingdom of Bashan (Josh. 12:4, 5). Here Og was defeated by the Israelites, and the strength of the Amorites broken (Num. 21:33-35). It subsequently"}, {"id": "card_n_7009081c8db2", "title": "Aurelius, Meditations §aur_04_xvii: If so be that the souls remain after death (say they that will not believe it...", "shelf": "classics", "surface": "secular", "snippet": "If so be that the souls remain after death (say they that will not believe it); how is the air from all eternity able to contain them? How is the earth (say I) ever from that time able to Contain the "}, {"id": "card_n_6578738612f7", "title": "Augustine, Confessions §aug_conf_10_019: The memory containeth also reasons and laws innumerable of numbers and dimens...", "shelf": "classics", "surface": "witness", "snippet": "The memory containeth also reasons and laws innumerable of numbers and dimensions, none of which hath any bodily sense impressed; seeing they have neither colour, nor sound, nor taste, nor smell, nor "}]}