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A012885 Suffixes of 357686312646216567629137 (all primes). 3
7, 37, 137, 9137, 29137, 629137, 7629137, 67629137, 567629137, 6567629137, 16567629137, 216567629137, 6216567629137, 46216567629137, 646216567629137, 2646216567629137, 12646216567629137, 312646216567629137, 6312646216567629137, 86312646216567629137 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

From Mikk Heidemaa, Mar 23 2015: (Start)

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).

---

a^2 + b^2 + c^2 + d^2 + e^2 + f^2 = 357686312646216567629137^2;

a=304233682432674451033719; b=185074861663432734470527;

c=4189176178164916432878; d=33333333333333333333333; e=3333333; f=3.

---

a^2 + b^2 + c^2 + d^2 + e^2 + f^2 = 357686312646216567629137^3;

a=210197737649788368191109924028342434;

b=39738123500625252940689952285037741;

c=777777777777777777777777;

d=777777777777777777777777;

e=777777777777777777;

f=777777777777.

a=170350493188466620042802284807886346;

b=129394423538599186274382140531063939;

c=777777777777777777777777;

d=777777777777777777777777;

e=777777777777777777;

f=777777777777.

---

x^2 + y^2 = 357686312646216567629137^3;

x=144701758632763782416276428525674993;

y=157555096461604743754426503960480452;

x=149107037120999813337660002835835372;

y=153392629723324670471173010334042063.

(End)

LINKS

Mikk Heidemaa, Table of n, a(n) for n = 1..24

FORMULA

a(n) = 357686312646216567629137 mod 10^n. - José de Jesús Camacho Medina, Dec 21 2016

EXAMPLE

.......................7

......................37

.....................137

....................9137

...................29137

..................629137

.................7629137

................67629137

...............567629137

..............6567629137

.............16567629137

............216567629137

...........6216567629137

..........46216567629137

.........646216567629137

........2646216567629137

.......12646216567629137

......312646216567629137

.....6312646216567629137

....86312646216567629137

...686312646216567629137

..7686312646216567629137

.57686312646216567629137

357686312646216567629137

------------------------

MATHEMATICA

Table[Mod[357686312646216567629137, 10^n] , {n, 1, 24}] (* José de Jesús Camacho Medina, Dec 21 2016 *)

CROSSREFS

Cf. A024785.

Sequence in context: A196597 A143991 A243893 * A162541 A196574 A094729

Adjacent sequences:  A012882 A012883 A012884 * A012886 A012887 A012888

KEYWORD

nonn,fini

AUTHOR

Larry Calmer (larry(AT)wri.com), Simon Plouffe

STATUS

approved

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Last modified February 21 16:14 EST 2017. Contains 282445 sequences.