A153431 -id:A153431 - cp's OEIS frontend

A153432 Numbers m such that all ten numbers 10^k*m+1; k=0,1,...,9 are prime.

15538734736, 28034367522, 41221375552, 89468493268, 92220460962, 95951017078, 105627706800, 108012908976, 147689513538, 161055865908, 177073756566, 181921823202, 185137153012, 192336309046, 212463686778

Offset: 1

Farideh Firoozbakht, Mar 31 2009

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.

Carlos Rivera, Puzzle 482. Two Bergot questions, The Prime Puzzles & Problems Connection.

Subsequence of A006093 and of A008596.

Cf. A153431, A153433.

a(n) >> n log^10 n. - Charles R Greathouse IV, Dec 29 2024

A153433 Numbers m such that all 11 numbers 10^k*m+1; k=0,1,...,9 & 10 are prime.

Original entry on oeis.org

89468493268, 342174928102, 1124855005456, 1183450662310, 1885504856592, 2425861640748, 2926121345812, 3713879215312, 3984048347706, 4181062989166, 4335021717418, 5232993739512, 6009549731752, 6406772991528, 7451945623752, 8329610667490, 8533933744882, 9374871820930, 9425264464140, 9578838492160

Offset: 1

Farideh Firoozbakht, Apr 02 2009

nonn

If m & n are in the sequence, k<11 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.

Carlos Rivera, Two Bergot questions

Cf. A153431, A153432.

A153433 a(3)-a(20) from Don Reble, Jul 06 2022

cp's OEIS Frontend

A153432 Numbers m such that all ten numbers 10^k*m+1; k=0,1,...,9 are prime.

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