A000797 Numbers that are not the sum of 4 tetrahedral numbers.
17, 27, 33, 52, 73, 82, 83, 103, 107, 137, 153, 162, 217, 219, 227, 237, 247, 258, 268, 271, 282, 283, 302, 303, 313, 358, 383, 432, 437, 443, 447, 502, 548, 557, 558, 647, 662, 667, 709, 713, 718, 722, 842, 863, 898, 953, 1007, 1117, 1118
Offset: 1
References
- L. E. Dickson, History of the Theory of Numbers, Vol. II, Diophantine Analysis. AMS Chelsea Publishing, Providence, Rhode Island, 1999, p. 22.
- S. S. Skiena, The Algorithm Design Manual, Springer-Verlag, 1998, pp. 43-45 and 135-136.
- N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Links
- Jud McCranie and David W. Wilson, The 241 known terms
- Brady Haran and James Grime, 343867 and Tetrahedral Numbers - Numberphile, YouTube video, 2024.
- Maksym Nedoshev and Viktor Kyrychenko, Peculiarities of the Operation of Complex Computational Algorithms using the Example of Testing the Polock Hypothesis [sic], Central Ukrainian Sci. Bull. (2025) Part II, Vol. 11, No. 42, 23-29. (In Ukrainian)
- Jonathan Frederick Pollock, On the extension of the principle of Fermat's theorem of the polygonal numbers to the higher orders of series whose ultimate differences are constant. With a new theorem proposed, applicable to all the orders, Proc. Roy. Soc. London, 5 (1851), 922-924.
- Herbert E. Salzer and Norman Levine, Table of integers not exceeding 10 00000 that are not expressible as the sum of four tetrahedral numbers, Math. Comp., 12 (1958), 141-144.
- Eric Weisstein's World of Mathematics, Pollock's Conjecture
- Eric Weisstein's World of Mathematics, Tetrahedral Number
Crossrefs
Extensions
Entry revised Feb 25 2005
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