A370998 -id:A370998 - cp's OEIS frontend

A371069 Positions of records in A370998.

1, 2, 3, 4, 6, 8, 11, 14, 16, 19, 22, 26, 35, 37, 38, 42, 45, 49, 63, 70, 75, 80, 83, 114, 115, 121, 125, 133, 134, 141, 145, 183, 187, 199, 207, 224, 231, 234, 242, 244, 249, 274, 288, 333, 338, 340, 354, 363, 385, 387, 394, 407, 435, 465

Offset: 1

Hugo Pfoertner, Mar 10 2024

Cf. A239392 (records), A370998.

A370998(a(n)) = A239392(n).

a(39)-a(54) from Martin Ehrenstein, Mar 11 2024

A239392 Numbers n that have record value of prime p such that p + 2n is another prime.

Original entry on oeis.org

1, 3, 11, 44, 56, 101, 359, 664, 821, 866, 2623, 2944, 5171, 12839, 18833, 29947, 38002, 51551, 54206, 90407, 179831, 325681, 436349, 1186739, 3044396, 3821264, 4622276, 6519176, 6795596, 12159494, 17428889, 27538202, 73919371, 127586456, 266466008, 423717053, 458430559

Offset: 1

T. D. Noe, Mar 19 2014

nonn

See A101045 of the values of p > 2.

Cf. A020483 (least p with p, q both prime, such that p+2n = q).

Cf. A370998, A371069.

nn = 10^5; t = Table[j = 1; found = False; While[! found, j++; found = PrimeQ[Prime[j] + 2 i]]; Prime[j], {i, nn}]; mx = -1; t2 = {}; Do[If[t[[i]] > mx, mx = t[[i]]; AppendTo[t2, {i, t[[i]]}]], {i, nn}]; Transpose[t2][[1]]

a(n) = A370998(A371069(n)). - Hugo Pfoertner, Mar 11 2024

a(30)-a(35) from Giovanni Resta, Mar 19 2014

a(36)-a(37) from Hugo Pfoertner, Mar 11 2024

cp's OEIS Frontend

A371069 Positions of records in A370998.

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