Stérmer Number

A Stérmer number is a Positive Integer for which the largest Prime factor of is at least . Every Gregory Number can be expressed uniquely as a sum of s where the s are Stérmer numbers. Conwayand Guy (1996) give a table of Stérmer numbers reproduced below (Sloane's A005529). In a paper on Inverse Tangentrelations, Todd (1949) gives a similar compilation.

1	2	10	101	19	181	26	677	35	613
2	5	11	61	20	401	27	73	36	1297
4	17	12	29	22	97	28	157	37	137
5	13	14	197	23	53	29	421	39	761
6	37	15	113	24	577	33	109	40	1601
9	41	16	257	25	313	34	89	42	353

References

Conway, J. H. and Guy, R. K. ``Stérmer's Numbers.'' The Book of Numbers. New York: Springer-Verlag, pp. 245-248, 1996.

Sloane, N. J. A. SequenceA005529/M1505in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.

Todd, J. ``A Problem on Arc Tangent Relations.'' Amer. Math. Monthly 56, 517-528, 1949.

• Stolarsky-Harborth Constant
• Stolarsky's Inequality
• Stomachion
• Stone Space
• Stone-von Neumann Theorem
• Stopper Knot
• Straight Angle
• Straightedge
• Straight Line
• Straight Polyomino
• Strange Attractor
• Strange Loop
• Strangers
• Strassen Formulas
• Strassman's Theorem
• Strassnitzky's Formula
• Strategy
• Stratified Manifold
• Strehl Identity
• Striction Curve
• String Rewriting
• Strip
• Strong Convergence
• Strong Elliptic Pseudoprime
• Strong Frobenius Pseudoprime