A158351 Primes p0 such that p0+p1+p2-+2 are primes; p0,p1,p2 are three consecutive primes.

3, 251, 523, 1063, 4007, 4373, 4423, 7517, 11801, 11833, 11927, 12491, 12757, 12967, 15817, 15907, 16381, 16481, 16763, 16987, 17851, 21341, 21937, 22343, 22441, 22877, 23327, 25849, 26591, 26993, 27061, 31153, 31321, 31583, 33773, 35159

Offset

1,1

Comments

sum of three consecutive primes = arithmetical mean of two primes. 3+5+7=15-+2 (13,17)primes, 251+257+263-+2 (769,773)primes, ...

Links

Table of n, a(n) for n=1..36.

Mathematica

lst={}; Do[p0=Prime[n]; p1=Prime[n+1]; p2=Prime[n+2]; a=p0+p1+p2; If[PrimeQ[a-2]&&PrimeQ[a+2], AppendTo[lst, p0]], {n, 2*7!}]; lst

Prog

(PARI) is(n)=my(p=nextprime(n+1), q=nextprime(p+1)); isprime(n) && isprime(n+p+q-2) && isprime(n+p+q+2) \\ Charles R Greathouse IV, Jan 29 2016

Crossrefs

Cf. A099349, A158350.

Sequence in context: A349644 A124875 A226986 * A025418 A075901 A028918

Adjacent sequences: A158348 A158349 A158350 * A158352 A158353 A158354

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Mar 16 2009

Status

approved