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

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

1,2

Comments

See A101045 of the values of p > 2.

Links

Table of n, a(n) for n=1..37.

Formula

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

Mathematica

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]]

Crossrefs

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

Cf. A370998, A371069.

Sequence in context: A302333 A345670 A370998 * A122393 A012880 A200613

Adjacent sequences: A239389 A239390 A239391 * A239393 A239394 A239395

Keyword

nonn

Author

T. D. Noe, Mar 19 2014

Extensions

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

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

Status

approved