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A117528 Prime at which the cumulative sum in A117527 is prime. 1
2, 3, 13, 41, 43, 109, 137, 167, 181, 199, 307, 373, 421, 491, 587, 661, 1009, 1097, 1117, 1373, 1471, 1483, 1601, 1607, 1787, 1913, 2053, 2089, 2203, 2267, 2591, 2819, 2953, 3191, 3361, 3623, 3691, 3779, 3877, 4051 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

At the twin primes 41 and 43, we obtain consecutive prime integer sums of 641 and 757.

FORMULA

Multiply consecutive primes by e, take integer, sum until a prime sum is reached.

EXAMPLE

In a(5)=4007, multiplication of the prime 109*e resulted in the int sum 296. When added to previous sums, the total came to 4007, a prime.

PROG

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

CROSSREFS

Cf. A117527 A117504.

Sequence in context: A168483 A100424 A141511 * A122719 A106866 A164133

Adjacent sequences:  A117525 A117526 A117527 * A117529 A117530 A117531

KEYWORD

easy,nonn

AUTHOR

Enoch Haga (Enokh(AT)comcast.net), Mar 25 2006

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Last modified February 16 10:53 EST 2012. Contains 205904 sequences.