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A082244
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Smallest odd prime that is the sum of 2n+1 consecutive primes.
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1
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3, 23, 53, 197, 127, 233, 691, 379, 499, 857, 953, 1151, 1259, 1583, 2099, 2399, 2417, 2579, 2909, 3803, 3821, 4217, 4651, 5107, 5813, 6829, 6079, 6599, 14153, 10091, 8273, 10163, 9521, 12281, 13043, 11597, 12713, 13099, 16763, 15527, 16823, 22741
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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FORMULA
| The sum of the reciprocals = 0.4304...
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EXAMPLE
| For n = 2,
2+3+5+7+11=28
3+5+7+11+13=39
5+7+11+13+17=53
so 53 is the first prime that is the sum of 5 consecutive primes
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PROG
| (PARI) \ First prime that the sum of an odd number of consecutive primes psumprm(n) = { sr=0; forstep(i=1, n, 2, s=0; for(j=1, i, s+=prime(j); ); for(x=1, n, s = s - prime(x)+ prime(x+i); if(isprime(s), sr+=1.0/s; print1(s" "); break); ); ); print(); print(sr) }
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CROSSREFS
| See A070934 for another version.
Sequence in context: A032003 A031907 A181422 * A143853 A141047 A196538
Adjacent sequences: A082241 A082242 A082243 * A082245 A082246 A082247
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KEYWORD
| easy,nonn
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AUTHOR
| Cino Hilliard (hillcino368(AT)gmail.com), May 09 2003
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