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 A082246 Primes that are the sum of 7 consecutive primes. 14
 197, 223, 251, 281, 311, 401, 431, 463, 523, 593, 659, 719, 757, 827, 863, 947, 991, 1063, 1171, 1753, 1901, 2347, 2393, 2647, 2689, 2731, 2777, 2819, 2953, 3347, 3389, 3533, 3643, 3701, 3761, 3821, 4177, 4217, 4451, 4493, 5507, 5717, 5849, 5927, 6029 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Syed Iddi Hasan, Table of n, a(n) for n = 1..10000 EXAMPLE 2 + 3 + 5 + 7 + 11 + 13 + 17 = 58 = 2*29 3 + 5 + 7 + 11 + 13 + 17 + 19 = 75 = 3*5^2 5 + 7 + 11 + 13 + 17 + 19 + 23 = 95 = 5*19 7 + 11 + 13 + 17 + 19 + 23 + 29 = 119 = 7*17 11 + 13 + 17 + 19 + 23 + 29 + 31 = 143 = 11*13 13 + 17 + 19 + 23 + 29 + 31 + 37 = 169 = 13*13 17 + 19 + 23 + 29 + 31 + 37 + 41 = 197 (prime) MAPLE Primes:= select(isprime, [seq(i, i=3..10000, 2)]): S:= ListTools:-PartialSums(Primes): select(isprime, S[8..-1]-S[1..-8]); # Robert Israel, Dec 14 2017 MATHEMATICA Select[ListConvolve[{1, 1, 1, 1, 1, 1, 1}, Prime[Range[200]]], PrimeQ] (* Harvey P. Dale, Jul 12 2013 *) Select[Total/@Partition[Prime[Range[200]], 7, 1], PrimeQ] (* Harvey P. Dale, Jul 24 2017 *) PROG (PARI) \\ primes in the sum of m odd number of consecutive primes. m=7 psumprm(m, n) = { sr=0; s=0; for(j=1, m, s+=prime(j); ); for(x=1, n, s = s - prime(x)+ prime(x+m); if(isprime(s), sr+=1.0/s; print1(s" ")); ); print(); print(sr) } CROSSREFS Cf. A180948. Sequence in context: A171383 A182572 A152625 * A159809 A051371 A127339 Adjacent sequences:  A082243 A082244 A082245 * A082247 A082248 A082249 KEYWORD easy,nonn AUTHOR Cino Hilliard, May 09 2003 EXTENSIONS Corrected by Michael Somos, Feb 01 2004 STATUS approved

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Last modified October 19 20:58 EDT 2019. Contains 328224 sequences. (Running on oeis4.)