OFFSET
1,1
COMMENTS
All terms are congruent to 5 modulo 6 since the first square must be 9.
FORMULA
p = a^2 + b^2 + c^2 with a < b < c primes, note that a = 3 in all cases.
EXAMPLE
p = 83, {a,b,c} = {3,5,7}, 1 way
p = 419, {a,b,c} = {3,7,19}, {3,11,17}, 2 ways
p = 3779, {a,b,c} ={3,7,61}, {3,17,59}, {3,31,53}, 3 ways
p = 10739, {a,b,c} = {3,11,103}, {3,23,101}, {3,53,89}, {3,67,79}, 4 ways.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Zak Seidov, Jun 03 2014
STATUS
approved