

A086135


Numbers n such that n and n+10 are both prime but are nonconsecutive; which means that at least one prime is between n and n+10; it is not identical with A023303 because here the terms of A031928 are missing.


1



3, 7, 13, 19, 31, 37, 43, 61, 73, 79, 97, 103, 127, 157, 163, 223, 229, 271, 307, 349, 373, 379, 433, 439, 457, 499, 607, 643, 673, 733, 751, 853, 877, 937, 967, 1009, 1087, 1093, 1213, 1279, 1291, 1297, 1423, 1429, 1483, 1489, 1543, 1549, 1597, 1609, 1657, 1777
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OFFSET

1,1


LINKS

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


FORMULA

Complement of a=A031928 with respect to b=A023303: [b]&[nota]: this and A031928 are disjoint, but A031928 is a proper subset of A023303.


EXAMPLE

First deviation from A023303 = {3,7,13,19,31,37,43,61,73,79,97,103,127,139,157,..} is due to the absence of 139=A031928(1).


MATHEMATICA

Do[s=Prime[n]; s1=Prime[n+1]; If[PrimeQ[s+d]&& !Equal[s1s, d], Print[s]], {n, 1, 1000}]
Select[Prime[Range[300]], PrimeQ[#+10]&&NextPrime[#]!=(#+10)&] (* Harvey P. Dale, Oct 25 2020 *)


CROSSREFS

Sequence in context: A215809 A015916 A023203 * A023220 A207990 A023205
Adjacent sequences: A086132 A086133 A086134 * A086136 A086137 A086138


KEYWORD

nonn


AUTHOR

Labos Elemer, Jul 28 2003


STATUS

approved



