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Numbers m such that all ten numbers 10^k*m+1; k=0,1,...,9 are prime.
2

%I #9 Jan 03 2025 23:29:15

%S 15538734736,28034367522,41221375552,89468493268,92220460962,

%T 95951017078,105627706800,108012908976,147689513538,161055865908,

%U 177073756566,181921823202,185137153012,192336309046,212463686778

%N Numbers m such that all ten numbers 10^k*m+1; k=0,1,...,9 are prime.

%C If m & n are in the sequence, k<10 and r=m*n*10^k -1 is prime then r has at least k+1 representations of the form p*q-(p+q)where p & q are prime.

%H Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_482.htm">Puzzle 482. Two Bergot questions</a>, The Prime Puzzles & Problems Connection.

%F a(n) >> n log^10 n. - _Charles R Greathouse IV_, Dec 29 2024

%Y Subsequence of A006093 and of A008596.

%Y Cf. A153431, A153433.

%K nonn,more

%O 1,1

%A _Farideh Firoozbakht_, Mar 31 2009