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A072722 Smallest of 6 consecutive integers divisible respectively by 6 consecutive primes. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

EXAMPLE

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

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} ]

CROSSREFS

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

Sequence in context: A321210 A072730 A180100 * A180159 A207280 A207476

Adjacent sequences:  A072719 A072720 A072721 * A072723 A072724 A072725

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Aug 07 2002

STATUS

approved

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Last modified September 29 22:05 EDT 2022. Contains 357092 sequences. (Running on oeis4.)