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Khinchin primes: values of n such that the concatenation of the first n decimal digits of Khinchin's constant is prime.
1

%I #8 Feb 16 2025 08:33:01

%S 1,407,878,4443,4981,6551,13386,28433

%N Khinchin primes: values of n such that the concatenation of the first n decimal digits of Khinchin's constant is prime.

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ConstantPrimes.html">Constant Primes</a>

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/KhinchinsConstantDigits.html">Khinchin's Constant Digits</a>

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/IntegerSequencePrimes.html">Integer Sequence Primes</a>

%e K = 2.685..., 2--the concatenation of the first 1 decimal digits--is prime, so a(1)=1

%Y Cf. A002210.

%K nonn,base,changed

%O 1,2

%A _Eric W. Weisstein_, Apr 24 2006; corrected Apr 26 2006

%E More terms from _Eric W. Weisstein_, Apr 28 2006

%E a(8) = 28433 from _Eric W. Weisstein_, Apr 27 2006