A152472 Largest primes of 'a' consecutive primes whose sum is a prime in A152471.

3, 17, 47, 101, 163, 179, 439, 757, 773, 953, 1621, 2251, 3067, 3251, 4391, 4801, 4969, 5101, 5431, 5783, 5861, 5953, 6269, 6863, 7643, 8179, 9103, 9497, 9781, 10103, 10607, 11083, 11503, 12487, 15331, 15959, 18233, 18617, 19447, 19861, 20719

Offset

1,1

Comments

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;

Links

Table of n, a(n) for n=1..41.

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

Crossrefs

Cf. A152471

Sequence in context: A091624 A106078 A087908 * A117012 A162291 A095697

Adjacent sequences: A152469 A152470 A152471 * A152473 A152474 A152475

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Dec 05 2008

Status

approved