A152471 Primes p such that the sum of p consecutive primes starting from p is prime.

2, 5, 11, 19, 29, 31, 67, 107, 109, 131, 211, 277, 367, 383, 503, 547, 563, 577, 607, 643, 653, 661, 691, 751, 827, 877, 967, 1009, 1033, 1063, 1109, 1153, 1193, 1283, 1549, 1607, 1811, 1847, 1913, 1951, 2027, 2069, 2087, 2141, 2203, 2267, 2269, 2351, 2447

Offset

1,1

Links

Metin Sariyar, Table of n, a(n) for n = 1..2000

Example

2+3 = 5 (prime); start from 2, sum of two consecutive primes is prime.
5+7+11+13+17 = 53 (prime); start from 5, sum of five consecutive primes is prime.
11+13+17+19+23+29+31+37+41+43+47 = 311 (prime); start from 11, sum of eleven consecutive primes is prime.
19+23+29+31+37+41+43+47+53+59+61+67+71+73+79+83+89+97+101 = 1103 (prime); start from 19, sum of 19 consecutive primes is prime.

Mathematica

lst={}; Do[s=0; Do[p=Prime[n]; If[s==0, p0=p]; s+=p, {n, a, a+Prime[a]-1}]; If[PrimeQ[s], AppendTo[lst, p0]], {a, 1, 6!}]; lst

Crossrefs

Cf. A152472, A152473.

Sequence in context: A336116 A031870 A040147 * A088796 A190309 A161550

Adjacent sequences: A152468 A152469 A152470 * A152472 A152473 A152474

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Dec 05 2008

Extensions

Name clarified by Metin Sariyar, Oct 26 2020

Status

approved