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A210338 Primes that can be represented exactly in two ways as a^2 + b^2 + c^2, 0 < a <= b <= c. 1
41, 59, 83, 107, 113, 137, 139, 181, 197, 211, 229, 283, 307, 313, 317, 331, 337, 373, 379, 421, 457, 499, 541, 547, 577, 613, 643, 709, 757, 853, 877, 883, 907, 1093, 1213 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This sequence is probably complete. Is there a proof of this?

There are no more terms < 10^7. - Donovan Johnson, Mar 22 2012

LINKS

Table of n, a(n) for n=1..35.

EXAMPLE

{p,a,b,c}:

{41,1,2,6}, {41,3,4,4}

{59,1,3,7}, {59,3,5,5}

{83,1,1,9}, {83,3,5,7}

{107,1,5,9}, {107,3,7,7}.

CROSSREFS

Cf. A181786, A210311.

Sequence in context: A172406 A161613 A345042 * A139890 A082932 A290005

Adjacent sequences:  A210335 A210336 A210337 * A210339 A210340 A210341

KEYWORD

nonn

AUTHOR

Zak Seidov, Mar 20 2012

STATUS

approved

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Last modified October 22 15:40 EDT 2021. Contains 348172 sequences. (Running on oeis4.)