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A112716 Smallest prime of the form: n successive positive integers in descending order followed by a 7. 7
17, 547, 3217, 65437, 543217, 8765437, 76543217, 41403938373635347, 9876543217, 282726252423222120197, 1312111098765437, 2322212019181716151413127, 222120191817161514131211107, 1615141312111098765437 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

EXAMPLE

a(4) = 65437, four successive positive integers 6,5,4,3 in descending order followed by a 7.

MATHEMATICA

a[n_]:=(For[m=1, (v={}; Do[v=Join[v, IntegerDigits[k]], {k, m+n-1, m, -1}]); !PrimeQ[10FromDigits[v]+7], m++ ]; 10FromDigits[v]+7); Table[a[n], {n, 14}] - Farideh Firoozbakht

f[n_] := Block[{t = Reverse@Range@n}, While[p = FromDigits@Flatten@IntegerDigits@Join[t, {7}]; !PrimeQ@p, t++ ]; p]; Array[f, 14] (* Robert G. Wilson v *)

CROSSREFS

Cf. A114754, A114755, A114756, A114757, A114758, A114759, A108145.

Sequence in context: A012232 A114063 A193120 * A197395 A012069 A191865

Adjacent sequences:  A112713 A112714 A112715 * A112717 A112718 A112719

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jan 01 2006

EXTENSIONS

Extended by Robert G. Wilson v (rgwv(at)rgwv.com), Ray Chandler (rayjchandler(AT)sbcglobal.net) and Farideh Firoozbakht (mymontain(AT)yahoo.com), Jan 02 2006

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Last modified February 17 09:41 EST 2012. Contains 206009 sequences.