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A269399 Numbers n for which prime(n+7)-prime(n+6) is a multiple of three. 6
3, 5, 9, 10, 12, 15, 17, 26, 30, 31, 33, 34, 40, 41, 45, 48, 49, 50, 52, 61, 65, 67, 68, 70, 78, 80, 85, 90, 91, 93, 94, 96, 97, 99, 101, 102, 104, 105, 108, 112, 113, 115, 117, 123, 124, 127, 133, 154, 155, 158, 159, 161, 162, 164, 168, 173, 174, 178, 179, 181, 182, 188, 189, 191, 193, 194, 196, 197, 199, 202, 204, 208, 210 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A270190(n) - 6.

EXAMPLE

3 is present as the difference between A000040(3+7) = 29 and A000040(3+6) = 23 is 6, a multiple of three.

MATHEMATICA

Select[Range@ 210, Divisible[Prime[# + 7] - Prime[# + 6], 3] &] (* Michael De Vlieger, Mar 18 2016 *)

PROG

(Scheme, with Antti Karttunen's IntSeq-library)

(define A269399 (MATCHING-POS 1 1 (lambda (n) (= 0 (A137264 (+ 6 n))))))

(PARI) isok(n) = ((prime(n+7) - prime(n+6)) % 3) == 0; \\ Michel Marcus, Mar 18 2016

CROSSREFS

Complement: A269389.

Cf. A137264, A270190.

Cf. also A270199.

Sequence in context: A316520 A153710 A230385 * A175468 A286065 A316296

Adjacent sequences:  A269396 A269397 A269398 * A269400 A269401 A269402

KEYWORD

nonn

AUTHOR

Antti Karttunen, Mar 16 2016

STATUS

approved

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Last modified June 1 02:09 EDT 2020. Contains 334758 sequences. (Running on oeis4.)