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Odd numbers m such that for every k >= 1, m*2^k - 1 has a divisor in the set {3, 7, 11, 19, 31, 37, 41, 61, 73, 109, 151, 331}.
3

%I #9 Jul 27 2023 12:24:29

%S 144323411864333,175321252530209,190779128601685,316031956469111,

%T 389882208980861,450590081221877,2420018284798363,2715458757443051,

%U 3161282469971861,3366332338600025,3643757921262355,4380746955320089,4409682697067321,5089175909950511,5281690092088615

%N Odd numbers m such that for every k >= 1, m*2^k - 1 has a divisor in the set {3, 7, 11, 19, 31, 37, 41, 61, 73, 109, 151, 331}.

%H Arkadiusz Wesolowski, <a href="/A364412/b364412.txt">Table of n, a(n) for n = 1..34560</a>

%F For n > 34560, a(n) = a(n-34560) + 10014447295554878022.

%Y Cf. A101036, A076335, A180247, A291360, A364413.

%K nonn

%O 1,1

%A _Arkadiusz Wesolowski_, Jul 23 2023