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 A231609 Table whose n-th row consists of primes p such that p + 2n is the next prime, read by antidiagonals. 1
 3, 7, 5, 23, 13, 11, 89, 31, 19, 17, 139, 359, 47, 37, 29, 199, 181, 389, 53, 43, 41, 113, 211, 241, 401, 61, 67, 59, 1831, 293, 467, 283, 449, 73, 79, 71, 523, 1933, 317, 509, 337, 479, 83, 97, 101, 887, 1069, 2113, 773, 619, 409, 491, 131, 103, 107 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The plot has an unusual gap near 10^5. Why? LINKS T. D. Noe, Rows n = 1..100 of triangle, flattened EXAMPLE The following sequences are read by antidiagonals {   3,    5,   11,   17,   29,   41,   59,   71,  101,  107, ...} {   7,   13,   19,   37,   43,   67,   79,   97,  103,  109, ...} {  23,   31,   47,   53,   61,   73,   83,  131,  151,  157, ...} {  89,  359,  389,  401,  449,  479,  491,  683,  701,  719, ...} { 139,  181,  241,  283,  337,  409,  421,  547,  577,  631, ...} { 199,  211,  467,  509,  619,  661,  797,  997, 1201, 1237, ...} { 113,  293,  317,  773,  839,  863,  953, 1409, 1583, 1847, ...} {1831, 1933, 2113, 2221, 2251, 2593, 2803, 3121, 3373, 3391, ...} { 523, 1069, 1259, 1381, 1759, 1913, 2161, 2503, 2861, 3803, ...} { 887, 1637, 3089, 3413, 3947, 5717, 5903, 5987, 6803, 7649, ...} ... MATHEMATICA nn = 10; t = Table[{}, {nn}]; complete = 0; lastP = 3; While[complete < nn, p = NextPrime[lastP]; diff = p - lastP; If[diff <= 2*nn && Length[t[[diff/2]]] < nn - diff/2 + 1, AppendTo[t[[diff/2]], lastP]; If[Length[t[[diff/2]]] == nn - diff/2 + 1, complete++]]; lastP = p]; t2 = PadRight[t, {nn, nn}, 0]; Table[t2[[n-j+1, j]], {n, nn}, {j, n}] CROSSREFS Cf. A001359, A029710, A031924, A031926, A031928. Cf. A031930, A031932, A031934, A031936, A031938. Cf. A000230 (numbers in first column). Sequence in context: A269369 A305421 A112071 * A046561 A112927 A097406 Adjacent sequences:  A231606 A231607 A231608 * A231610 A231611 A231612 KEYWORD nonn,tabl,look AUTHOR T. D. Noe, Nov 26 2013 STATUS approved

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Last modified September 25 22:55 EDT 2020. Contains 337346 sequences. (Running on oeis4.)