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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

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

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

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 August 3 23:27 EDT 2015. Contains 260265 sequences.