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Search: id:A152473
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| A152473 |
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Primes as a sum of 'a' consecutive primes whose sum is a prime in A152471. |
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+0
1
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| 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
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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, s]], {a, 1, 6!}]; lst
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CROSSREFS
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Cf. A152471, A152472
Sequence in context: A058867 A058869 A054342 this_sequence A068170 A069632 A069617
Adjacent sequences: A152470 A152471 A152472 this_sequence A152474 A152475 A152476
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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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