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A350856
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Initial members of prime triples (p, p+2, p+14).
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0
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3, 5, 17, 29, 59, 137, 149, 179, 197, 227, 269, 419, 599, 617, 659, 809, 1019, 1049, 1277, 1289, 1607, 1787, 1997, 2129, 2237, 2267, 2657, 2789, 3167, 3257, 3299, 3329, 3359, 3527, 3557, 3917, 3929, 4217, 4229, 4259, 4547, 4637, 4649, 4787, 4799, 5009, 5099
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OFFSET
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1,1
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COMMENTS
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According to the k-tuple conjecture this sequence is theoretically infinite.
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LINKS
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Table of n, a(n) for n=1..47.
Chris K. Caldwell prime k-tuple conjecture
Chris K. Caldwell k-tuple
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MAPLE
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for a from 3 to 1000 by 2 do
if isprime(a) and isprime(a+2) and isprime(a+14) then
print(a);
end if
end do
# second Maple program:
q:= p-> andmap(isprime, [p, p+2, p+14]):
select(q, [$1..10000])[]; # Alois P. Heinz, Jan 28 2022
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MATHEMATICA
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Select[Range[7000], And @@ PrimeQ[# + {0, 2, 14}] &] (* Amiram Eldar, Jan 20 2022 *)
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CROSSREFS
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Cf. A022004 (p,p+2,p+6), A046134 (p,p+2,p+8), A046135 (p,p+2,p+12).
Sequence in context: A074931 A023226 A113169 * A174913 A079496 A230639
Adjacent sequences: A350853 A350854 A350855 * A350857 A350858 A350859
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KEYWORD
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nonn
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AUTHOR
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Matt C. Anderson, Jan 19 2022
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STATUS
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approved
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