A072722 Smallest of 6 consecutive integers divisible respectively by 6 consecutive primes.

788, 30818, 60848, 90878, 120908, 150938, 180968, 210998, 210999, 241028, 271058, 301088, 331118, 361148, 391178, 421208, 451238, 466254, 466255, 481268, 511298, 541328, 571358, 601388, 631418, 661448, 691478, 721508, 721509, 751538

Offset: 1

Author

Robert G. Wilson v, Aug 07 2002

Keywords

• nonn

Examples

			30818 is a term as 30818, 30818, 30819, 30820, 30821 and 30822 are divisible by 2, 3, 5, 7 and 11 respectively.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A073606, A073607, A072555, A073754, A073756, A072562.

Programs

Mathematica

f[n_Integer] := Flatten[ Table[ #1] & @@@ FactorInteger[n]]; NextPrim[n_] := Block[ {k = n + 1}, While[ !PrimeQ[k], k++ ]; k]; Do[ p = f[ n ]; l = Length[ p ]; t = Table[n + i, {i, 0, 5} ]; k = 1; While[ k < l + 1 && Union[ Mod[ t, NestList[ NextPrim, p[[ k ]], 5 ]]] != {0}, k++ ]; If[ k < l + 1, Print[ n ]], {n, 2, 811597} ]