cp's OEIS Frontend

A012885 Suffixes of 357686312646216567629137 (all primes).

%I A012885 #67 Apr 04 2021 17:22:31
%S A012885 7,37,137,9137,29137,629137,7629137,67629137,567629137,6567629137,
%T A012885 16567629137,216567629137,6216567629137,46216567629137,
%U A012885 646216567629137,2646216567629137,12646216567629137,312646216567629137,6312646216567629137,86312646216567629137
%N A012885 Suffixes of 357686312646216567629137 (all primes).
%C A012885 From _Mikk Heidemaa_, Mar 23 2015: (Start)
%C A012885 a(2),...,a(24) all have a single representation (in positive integers) as the sum of two squares (e.g., a(24) = 416865370156^2 + 428846797599^2) and as the hypotenuse of a primitive Pythagorean triple (357686312646216567629137^2 = 10132838975618776700465^2 + 357542758042644694110888^2).
%C A012885 ---
%C A012885 a^2 + b^2 + c^2 + d^2 + e^2 + f^2 = 357686312646216567629137^2;
%C A012885 a=304233682432674451033719; b=185074861663432734470527;
%C A012885 c=4189176178164916432878; d=33333333333333333333333; e=3333333; f=3.
%C A012885 ---
%C A012885 a^2 + b^2 + c^2 + d^2 + e^2 + f^2 = 357686312646216567629137^3;
%C A012885 a=210197737649788368191109924028342434;
%C A012885 b=39738123500625252940689952285037741;
%C A012885 c=777777777777777777777777;
%C A012885 d=777777777777777777777777;
%C A012885 e=777777777777777777;
%C A012885 f=777777777777.
%C A012885 a=170350493188466620042802284807886346;
%C A012885 b=129394423538599186274382140531063939;
%C A012885 c=777777777777777777777777;
%C A012885 d=777777777777777777777777;
%C A012885 e=777777777777777777;
%C A012885 f=777777777777.
%C A012885 ---
%C A012885 x^2 + y^2 = 357686312646216567629137^3;
%C A012885 x=144701758632763782416276428525674993;
%C A012885 y=157555096461604743754426503960480452;
%C A012885 x=149107037120999813337660002835835372;
%C A012885 y=153392629723324670471173010334042063.
%C A012885 (End)
%H A012885 Mikk Heidemaa, <a href="/A012885/b012885.txt">Table of n, a(n) for n = 1..24</a>
%H A012885 James Grime and Brady Haran, <a href="https://www.youtube.com/watch?v=azL5ehbw_24">357686312646216567629137</a>, Numberphile video (2018).
%H A012885 Miguel A. Martin-Delgado, <a href="https://arxiv.org/abs/2009.12305">Chiral Prime Concatenations</a>, arXiv:2009.12305 [math.NT], 2020.
%F A012885 a(n) = 357686312646216567629137 mod 10^n. - _José de Jesús Camacho Medina_, Dec 21 2016
%e A012885 .......................7
%e A012885 ......................37
%e A012885 .....................137
%e A012885 ....................9137
%e A012885 ...................29137
%e A012885 ..................629137
%e A012885 .................7629137
%e A012885 ................67629137
%e A012885 ...............567629137
%e A012885 ..............6567629137
%e A012885 .............16567629137
%e A012885 ............216567629137
%e A012885 ...........6216567629137
%e A012885 ..........46216567629137
%e A012885 .........646216567629137
%e A012885 ........2646216567629137
%e A012885 .......12646216567629137
%e A012885 ......312646216567629137
%e A012885 .....6312646216567629137
%e A012885 ....86312646216567629137
%e A012885 ...686312646216567629137
%e A012885 ..7686312646216567629137
%e A012885 .57686312646216567629137
%e A012885 357686312646216567629137
%e A012885 ------------------------
%t A012885 Table[Mod[357686312646216567629137,10^n] ,{n, 1, 24}] (* _José de Jesús Camacho Medina_, Dec 21 2016 *)
%Y A012885 Cf. A024785.
%K A012885 nonn,fini,full,base
%O A012885 1,1
%A A012885 Larry Calmer (larry(AT)wri.com), _Simon Plouffe_