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 A152473 Primes as a sum of 'a' consecutive primes whose sum is a prime in A152471. 0
 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 (list; graph; refs; listen; history; text; internal format)
 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 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 * A068170 A069632 A069617 Adjacent sequences:  A152470 A152471 A152472 * A152474 A152475 A152476 KEYWORD nonn AUTHOR Vladimir Joseph Stephan Orlovsky, Dec 05 2008 STATUS approved

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