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Search: id:A117527
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| A117527 |
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Cumulative sums of int(prime*e) which are primes. |
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+0
2
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| 5, 13, 109, 641, 757, 4007, 5387, 7901, 9349, 11467, 23297, 33503, 42193, 57139, 76343, 100213, 209597, 252583, 261631, 373621, 424231, 432287, 503593, 507961, 618593, 699427, 791489, 825389, 895243, 943837, 1212917, 1455901, 1573577
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Sometimes prime integer sums occur with consecutive primes, as 1601*e and 1607*e.
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FORMULA
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Beginning with the first prime, multiply by e, take integer, repeat, adding integer sums until a cumulative prime sum occurs. On the first prime, 2, the integer product is 5, prime. Continue to next integer product, add, until the next prime sum, 13.
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EXAMPLE
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The 4th cumulative sum of integer products is 641, prime.
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PROGRAM
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UBASIC 10 Ct=1 20 B=nxtprm(B) 22 E=#e 30 C=int(B*E) 40 D=D+C 41 print Ct, B, C, D 50 if D=prmdiv(D) then print D:stop 55 Ct=Ct+1 60 goto 20
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CROSSREFS
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Cf. A117528 A117503.
Sequence in context: A117340 A117437 A106046 this_sequence A004063 A005764 A099974
Adjacent sequences: A117524 A117525 A117526 this_sequence A117528 A117529 A117530
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KEYWORD
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easy,nonn
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AUTHOR
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Enoch Haga (Enokh(AT)comcast.net), Mar 25 2006
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