A072555 - OEIS

A072555

Smallest of four consecutive integers divisible by four consecutive primes respectively.

158, 368, 578, 788, 789, 790, 998, 1208, 1418, 1628, 1838, 1944, 2048, 2258, 2468, 2678, 2888, 3098, 3099, 3308, 3518, 3728, 3938, 4148, 4254, 4358, 4367, 4568, 4778, 4988, 5198, 5408, 5409, 5618, 5795, 5828, 6038, 6248, 6458, 6564, 6668, 6797, 6878

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OFFSET

1,1

LINKS

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

EXAMPLE

158 is a term as 158, 159, 160 and 161 are divisible by 2, 3, 5 and 7 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, 3} ]; k = 1; While[ k < l + 1 && Union[ Mod[ t, NestList[ NextPrim, p[ [ k ] ], 3 ] ] ] != {0}, k++ ]; If[ k < l + 1, Print[ n ] ], {n, 2, 7297} ]

CROSSREFS

Cf. A073606, A073607, A073754, A073755, A073756, A072562.

Sequence in context: A255351 A088728 A258960 * A056088 A189813 A270791

Adjacent sequences: A072552 A072553 A072554 * A072556 A072557 A072558

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Aug 06 2002

STATUS

approved