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Search: id:A096660
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| A096660 |
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Primes p such that the p-1 digits of the ternary (base 3) expansion of k/p (for k=1,2,3,...,p-1) fit into the k-th row of a magic square grid of order p-1. |
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+0
3
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| 223, 593, 811, 6113, 15319, 22123, 22409, 22817, 24859, 32801, 40013, 43853, 47599, 48259, 51329, 56383, 64553, 64579, 77813, 96401, 109169, 109937, 135607, 191899, 229507, 254623, 281609, 379157, 496963, 526963, 530753, 700781, 1090373
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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W. S. Andrews, Magic Squares and Cubes, pp. 176 Dover NY 1960.
J. Heleen, Journal of Recreational Mathematics, 30(1) 1999-2000 pp. 72-3 Soln. to Prob. 2394. Magic Reciprocals
M. J. Zerger, Journal of Recreational Mathematics, 30(2) 1999-2000 pp. 158-160 Soln. to Prob. 2420. Only 19?
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LINKS
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H. Heinz Order 18 based on 1/19
S. Whitechapel Reciprocal Arrangements
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CROSSREFS
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Cf. A072359, A096339.
Sequence in context: A142437 A138665 A142773 this_sequence A094459 A108819 A139233
Adjacent sequences: A096657 A096658 A096659 this_sequence A096661 A096662 A096663
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KEYWORD
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nonn,base
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AUTHOR
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Simon Whitechapel (aladgyma(AT)yahoo.com), Jul 02 2004
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EXTENSIONS
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Corrected and extended by William Rex Marshall (w.r.marshall(AT)actrix.co.nz), Aug 18 2005
Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 15 2006
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