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Search: id:A082277
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| A082277 |
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Smallest prime that is the sum of prime(n) consecutive primes. |
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+0
1
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| 5, 23, 53, 197, 233, 691, 499, 857, 1151, 2099, 2399, 2909, 3821, 4217, 5107, 6079, 10091, 8273, 12281, 11597, 12713, 15527, 22741, 26041, 25759, 37447, 28087, 36607, 36067, 35527, 42463, 46181, 49279, 65033, 67271, 71011, 71167, 76099, 78139
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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Sum of reciprocals converges to .28053...
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EXAMPLE
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For prime 3
2+3+5 = 10
3+5+7 = 15
5+7+11 = 23
7+11+13= 31
so 5+7+11 = 23 is the first prime that is the sum of 3 consecutive primes.
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PROGRAM
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(PARI) \ First prime in the sum of a prime number of consecutive primes psum1pprm(n) = { sr=.2; print1(5" "); forprime(i=2, n, 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
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Adjacent sequences: A082274 A082275 A082276 this_sequence A082278 A082279 A082280
Sequence in context: A127200 A140811 A090686 this_sequence A019267 A053664 A092544
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KEYWORD
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easy,nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), May 09 2003
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