A243627 Primes which are the sum of two consecutive squarefree numbers.

3, 5, 11, 13, 17, 29, 43, 59, 61, 67, 83, 89, 127, 131, 139, 151, 157, 173, 211, 227, 229, 233, 241, 271, 277, 283, 317, 331, 337, 347, 373, 389, 419, 421, 443, 449, 461, 487, 509, 521, 547, 563, 571, 577, 593, 619, 631, 643, 653, 659, 661, 691, 709, 727, 733, 751, 787, 797, 809

Offset

1,1

Comments

Subsequence of A240603.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

3 is in this sequence because A005117(1) + A005117(1+1) = 1 + 2 = 3,
5 is in this sequence because A005117(2) + A005117(2+1) = 2 + 3 = 5,
11 is in this sequence because A005117(4) + A005117(4+1) = 5 + 6 = 11.

Mathematica

Select[Abs[Differences[Select[Range[1000], MoebiusMu[#] != 0 &] * (-1)^Range[608]]], PrimeQ] (* Alonso del Arte, Jun 09 2014 *)
Select[Total/@Partition[Select[Range[500], SquareFreeQ], 2, 1], PrimeQ] (* Harvey P. Dale, Jul 29 2018 *)

Crossrefs

Cf. A005117, A240603.

Sequence in context: A020578 A250481 A227011 * A178604 A153443 A211876

Adjacent sequences: A243624 A243625 A243626 * A243628 A243629 A243630

Keyword

nonn,less

Author

Juri-Stepan Gerasimov, Jun 08 2014

Status

approved