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A273812
Numbers that cannot be expressed as the sum of two nonzero squares and at most two powers of two.
24
1, 535903, 1072327, 1594807, 1750111, 2025783, 2822151, 3304447, 3566119, 3697543, 3855319, 3982759, 4874439, 5832831, 5930775, 6642975, 7115791, 7536567, 7591447, 7885135, 8058399, 8225991, 8307879, 8357079, 8900583, 9339775, 10071879, 10626655, 11274735, 11334943, 12046807, 12229255
OFFSET
1,2
COMMENTS
If up to three powers of 2 are allowed (instead of two), then the smallest n > 1 which cannot be expressed is larger than 10^10. - Giovanni Resta, Jun 08 2016
Smallest n > 1 that can't be written as the sum of two squares and at most three powers of two is larger than 2^36. - David J. Platt, Aug 11 2016
LINKS
R. C. Crocker, On the sum of two squares and two powers of k, Colloq. Math. 112(2008), 235-267.
Dave Platt, Tim Trudgian, On the sum of two squares and at most two powers of 2, arXiv:1610.01672 [math.NT], 2016.
CROSSREFS
Sequence in context: A269322 A227497 A183650 * A210124 A237323 A251355
KEYWORD
nonn
AUTHOR
David J. Platt, May 31 2016
STATUS
approved