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Search: id:A152472
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| A152472 |
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Largest primes of 'a' consecutive primes whose sum is a prime in A152471. |
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+0
2
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| 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
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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;
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MATHEMATICA
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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
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CROSSREFS
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Cf. A152471
Sequence in context: A091624 A106078 A087908 this_sequence A117012 A162291 A095697
Adjacent sequences: A152469 A152470 A152471 this_sequence A152473 A152474 A152475
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 05 2008
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