1,1

n such that A011757(n + 1) - A011757(n) is a perfect cube

p1=prime[(n + 1)^2], p= prime[n^2], p1-p2=q^3: n = 79, p1 = 63809, p = 62081, q = 12; n = 10288, p1 = 2163941687, p = 2163502711, q = 76; n = 16181, p1 = 5602364903, p = 5601635903, q = 90; n = 306998, p1=2596139184841, p = 2596121608841, q = 260. n = 394021, p1 = 4357072887373, p = 4357049981069, q = 284. Next n, if any, is > 500000.

A145290 prime[(n + 1)^2] - prime[n^2] is a perfect square, A011757 prime(n^2).

Sequence in context: A032910 A116235 A123814 this_sequence A023343 A138917 A116327

Adjacent sequences: A145314 A145315 A145316 this_sequence A145318 A145319 A145320

nonn

Zak Seidov (zakseidov(AT)yahoo.com), Oct 07 2008