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A070934 Smallest prime equal to the sum of 2n+1 consecutive primes. 18
2, 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; text; internal format)
OFFSET
0,1
LINKS
EXAMPLE
Every term of the increasing sequence of primes 127, 401, 439, 479, 593,... is splittable into a sum of 9 consecutive odd primes and 127 = 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 is the least one corresponding to n = 4.
MATHEMATICA
f[n_] := Block[{k = 1, s}, While[s = Sum[Prime[i], {i, k, k + 2n}]; !PrimeQ[s], k++ ]; s]; Table[f[n], {n, 0, 41}] (* Ray Chandler, Sep 27 2006 *)
CROSSREFS
Cf. Bisection of A070281.
See A082244 for another version.
Sequence in context: A074809 A084237 A106928 * A296272 A031915 A247603
KEYWORD
nonn
AUTHOR
Lekraj Beedassy, May 21 2002
EXTENSIONS
Corrected and extended by Ray G. Opao, Aug 26 2004
Entry revised by Ray Chandler, Sep 27 2006
STATUS
approved

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Last modified March 19 06:52 EDT 2024. Contains 370953 sequences. (Running on oeis4.)