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A243627 Primes which are the sum of two consecutive squarefree numbers. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 23 07:30 EDT 2019. Contains 323508 sequences. (Running on oeis4.)