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Numbers k such that 3 + (integer formed from first k digits after decimal point in Pi) is prime.
1

%I #22 Apr 03 2023 10:36:09

%S 0,2,7,35,59,84,451,10090

%N Numbers k such that 3 + (integer formed from first k digits after decimal point in Pi) is prime.

%C No more terms below 10^3. - _Patrick De Geest_, Nov 25 2001

%C It is a probable prime for k = 10090. - _Metin Sariyar_, Jul 02 2020

%H G. L. Honaker, Jr. and C. K. Caldwell, <a href="https://t5k.org/curios/page.php?short=1415929">Prime Curios! 1415929</a>

%e a(3) = 7 because 3 + 1415926 is prime.

%t Select[Range[0,1000],PrimeQ[3+Floor[(Pi-3)*10^#]]&] (* _Metin Sariyar_, Jul 02 2020 *)

%Y Cf. A000796, A051710.

%K base,nonn,hard,more

%O 1,2

%A _G. L. Honaker, Jr._, Jan 12 2001

%E a(7) from _Patrick De Geest_, Nov 25 2001

%E a(8) from _Metin Sariyar_, Jul 02 2020