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A244549   Integers n such that for every integer k>0, n*6^k+1 has a divisor in the set { 7, 13, 31, 37, 97 }. 0
174308, 188299, 702703, 1045848, 1129794, 1615907, 1956746, 2485141, 3162650, 4216218, 4786277, 4800566, 5048170, 6275088, 6778764, 7075837, 7276821, 7549807, 8468524, 8554258, 8851331, 9616447, 9695442, 10039882 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For n > 24 a(n) = a(n-24) + 10124569, the first 24 values are in the data.

When the number a(n) has 4 or 9 as the last digit the number  a(n)*6^k-1 is always divisible by 5 and have always a divisor in the set { 7, 13, 31, 37, 97 } for every  k.

LINKS

Table of n, a(n) for n=1..24.

FORMULA

For n > 24 a(n) = a(n-24) + 10124569.

CROSSREFS

Cf. A076337, A243969, A244070, A244071, A244072, A244073, A244074, A244076, A244211, A244545.

Sequence in context: A251155 A166264 A205054 * A214172 A247348 A029830

Adjacent sequences:  A244546 A244547 A244548 * A244550 A244551 A244552

KEYWORD

nonn

AUTHOR

Pierre CAMI, Jun 29 2014

STATUS

approved

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Last modified January 21 03:16 EST 2021. Contains 340332 sequences. (Running on oeis4.)