A146941 Odd prime difference array. Let p(n) be the n-th odd prime; row n consists of all k such that p(k+1)-p(k)=2n.
1, 2, 3, 4, 5, 8, 6, 7, 10, 23, 9, 11, 14, 71, 33, 12, 13, 15, 76, 41, 45, 16, 18, 17, 78, 52, 46, 29, 19, 21, 20, 86, 60, 90, 61, 281, 25, 24, 22, 91, 67, 96, 65, 294, 98, 27, 26, 31, 93, 79, 113, 136, 318, 179, 153, 32, 28, 35, 123, 81, 120, 145, 330, 204, 258, 188, 34
Offset: 1
Examples
Northwest corner: 1 2 4 6 9 3 5 7 11 13 8 10 14 15 17 23 71 76 78 86 Row 3: 6=p(9)-p(8)=p(11)-p(9)=p(15)-p(14) That's 6=29-23=37-31=53-47.
Programs
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PARI
lista_by_rows(nn) = {for (n=1, nn, nb = 0; k = 2; ok = 0; until(ok, if (prime(k+1) - prime(k) == 2*n, print1(k-1, ", "); nb++; if (nb == nn, ok = 1);); k++;); print(););} \\ Michel Marcus, Apr 21 2013
Comments