A152473 Primes appearing as sums in A152471.

5, 53, 311, 1103, 2647, 3137, 16339, 44927, 47123, 68521, 189149, 337871, 609533, 668539, 1192753, 1415773, 1502947, 1586857, 1768583, 2000143, 2068813, 2126539, 2332181, 2772829, 3396091, 3841181, 4712063, 5153209, 5428037, 5770697

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, s]], {a, 1, 6!}]; lst

Crossrefs

Cf. A152471, A152472.

Sequence in context: A058869 A054342 A216533 * A242906 A068170 A069632

Adjacent sequences: A152470 A152471 A152472 * A152474 A152475 A152476

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Dec 05 2008

Status

approved