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A243342
Least prime p that is expressible as the sum of three distinct primes squared in exactly n ways.
1
83, 419, 3779, 10739, 240899, 229979, 1180019, 369419, 36964859, 33670379, 13235699, 21899939, 412547339, 370247939, 467152019, 579994619
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