A275743
The number of integers not representable as a sum of n-th powers of primes.
Original entry on oeis.org
1, 12, 83, 600, 3058, 18222, 130411, 783480, 3418488, 24857930, 181308931, 610675758, 6529545751, 18840405540, 102444103996, 956394012747, 3188347929974, 27288773879397, 96923972375603, 702926766993950, 2980668206142664, 20046633698159181, 88137290213079355, 502113072640777785
Offset: 1
For n=2, there are 12 nonnegative integers that cannot be written as a sum of squares of primes.
A275746
The number of integers not representable as a sum of n-th powers of odd primes.
Original entry on oeis.org
3, 62, 840, 12350, 99912, 2358913, 12173587, 120900206, 1224812108, 20439317893, 130357794430, 1534358290778, 13544972574336, 142155007727976, 1648210755327790, 14816750258004918, 151900144117560355, 1525977077403654254, 16185530587326104490
Offset: 1
For n=2, there are 62 integers that cannot be written as a sum of squares of odd primes.
A275747
Largest integer which cannot be written as a sum of n-th powers of odd primes.
Original entry on oeis.org
4, 114, 1595, 24195, 190463, 4613167, 23815950, 240951477, 2448240688, 40379465440, 258630935725, 3044619003271, 26232953378021, 264066033166293, 3218396161633945, 29248021240625765, 302064442857973298, 3027736057187540859, 32207709908667683204
Offset: 1
For n=2, 114 is the largest integer which cannot be written as a sum of squares of odd primes.
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With[{prs=Prime[Range[2,5]]},Table[FrobeniusNumber[prs^n],{n,20}]] (* Harvey P. Dale, Sep 19 2018 *)
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