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A060252 Smallest prime that is the sum of n consecutive composite numbers. 0
17, 23, 97, 37, 59, 173, 193, 199, 157, 149, 223, 373, 199, 431, 317, 277, 331, 823, 367, 487, 937, 659, 769, 983, 937, 883, 743, 829, 919, 1217, 1109, 1031, 1039, 997, 1049, 1103, 1913, 1319, 1433, 2837, 1447, 1451, 1867, 1699, 1889, 1709, 1777, 3761 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

LINKS

Table of n, a(n) for n=2..49.

EXAMPLE

a(4) = 97 because 22 + 24 + 25 + 26 = 97 and it is the least such prime.

MATHEMATICA

f[n_Integer] := Block[ {k = n + PrimePi[n] + 1}, While[ k - PrimePi[k] - 1 != n, k++ ]; k]; Do[c = Table[ f[k], {k, 1, n} ]; k = n + 1; While[ p = Apply[ Plus, c]; ! PrimeQ[p], c = Delete[c, 1]; c = Append[ c, f[k] ]; k++ ]; Print[p], {n, 2, 60} ]

CROSSREFS

Sequence in context: A043922 A260179 A100473 * A127924 A250640 A108260

Adjacent sequences:  A060249 A060250 A060251 * A060253 A060254 A060255

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Mar 22 2001

STATUS

approved

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Last modified December 9 20:00 EST 2016. Contains 278986 sequences.