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A129081
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Primes appearing in partial sums of A030433 (primes ending in 9).
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2
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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
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..31.
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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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MATHEMATICA
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With[{pr9s=Select[Prime[Range[3000]], Last[IntegerDigits[#]]==9&]}, Select[ Accumulate[ pr9s], PrimeQ]] (* From Harvey P. Dale, Dec 31 2011 *)
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PROG
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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.
Sequence in context: A096328 A184190 A142300 * A142322 A184056 A191566
Adjacent sequences: A129078 A129079 A129080 * A129082 A129083 A129084
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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, May 13 2007
Better description from Harvey P. Dale, Dec 31 2011
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STATUS
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approved
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