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Primes of the form smallest multiple of n followed by a 1.
2

%I #10 Jan 21 2022 23:29:07

%S 11,41,31,41,101,61,71,241,181,101,331,241,131,281,151,641,1021,181,

%T 191,401,211,661,461,241,251,521,271,281,1451,601,311,641,331,1021,

%U 701,1801,1481,761,1171,401,821,421,431,881,1801,461,941,3361,491,3001,1021,521

%N Primes of the form smallest multiple of n followed by a 1.

%C Conjecture: {(a(n)-1)}/{10n} < n, or a(n) < 10*n^2 + 1.

%C The conjecture holds for 2 < n < 10^8. Heuristically, the chance of its failing for larger n is about 10^-300000 based on the integral of exp(-2.5*x/log(x)^2) using the Poisson model for numbers coprime to 10. - _Charles R Greathouse IV_, Feb 15 2011

%Y Cf. A089533, A089534.

%K base,easy,nonn

%O 1,1

%A _Amarnath Murthy_, Nov 05 2003

%E More terms from _Ray Chandler_, Nov 07 2003