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A175651
Numbers n with property that sopf(n)+sopf(n+1) is a square.
3
7, 11, 22, 32, 55, 77, 111, 140, 147, 168, 175, 186, 189, 191, 242, 259, 284, 309, 363, 364, 365, 382, 391, 395, 399, 426, 455, 461, 519, 527, 538, 554, 604, 620, 639, 692, 719, 728, 745, 748, 805, 813, 861, 862, 873, 958, 964, 988, 991, 1037, 1109, 1122
OFFSET
1,1
COMMENTS
Or, A175649(n) is a square.
Or, positions of squares in A175649.
or, A008472(n)+A008472(n+1) is a square. Squares are in A175652.
Prime factors counted without multiplicity. - Harvey P. Dale, Jan 15 2017
LINKS
MATHEMATICA
Position[Partition[Table[Total[FactorInteger[n][[All, 1]]], {n, 1200}], 2, 1], _?(IntegerQ[Sqrt[Total[#]]]&)]//Quiet//Flatten (* Harvey P. Dale, Jan 15 2017 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Zak Seidov, Aug 03 2010
STATUS
approved