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Search: id:A129081
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| A129081 |
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Prime numbers that are the sum of consecutive prime numbers with final digit 9 (primes in A030433). |
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+0
3
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| 19, 107, 523, 1279, 1787, 4091, 16103, 18041, 46889, 68437, 104561, 155443, 161641, 174367, 187573, 303473, 330587, 359231, 419929, 430517, 634793, 878939, 974507, 1469753, 1510319, 1700851, 1902653, 2836961, 2982841, 3476299, 3807589
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(n) = A030433(1)+A030433(2)+...+A030433(x); a is a prime number.
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EXAMPLE
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a(5) = 1787 because 1787 = A030433(1) + A030433(2) + A030433(3) + A030433(4) + A030433(5) + A030433(6) + A030433(7) + A030433(8) + A030433(9) + A030433(10) + A030433(11) + A030433(12) + A030433(13) = 19 + 29 + 59 + 79 + 89 + 109 + 139 + 149 + 179 + 199 + 229 + 239 + 269; and 1787 is a prime number.
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PROGRAM
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(PARI) {s=0; forprime(p=2, 17300, if(p%10==9, s+=p; if(isprime(s), print1(s, ", "))))} /* Klaus Brockhaus, May 13 2007 */
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CROSSREFS
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Cf. A030433; A000040.
Adjacent sequences: A129078 A129079 A129080 this_sequence A129082 A129083 A129084
Sequence in context: A101010 A096328 A142300 this_sequence A142322 A118607 A080442
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KEYWORD
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easy,base,nonn
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AUTHOR
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Tomas Xordan (xordan.tom(AT)gmail.com), May 11 2007
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EXTENSIONS
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Entries checked by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 13 2007
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