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A086533 Numbers in A014092 splittable into a sum of a single number pair (both distinct from 1) having a product that belongs to A086473. 2
17, 65, 89, 127, 137, 163, 179, 185, 191, 233, 247, 269, 305, 343, 427, 457, 547, 569, 583, 613, 637, 667, 673, 697, 733, 757, 779, 787, 817, 821, 853, 929, 967, 977, 989, 997, 1045, 1087, 1117, 1207, 1267, 1273, 1289, 1297, 1327, 1345, 1357 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The first entry is the sum solution of Martin Gardner's "Impossible Problem" for numbers each with an upper bound anywhere between 62 and 100.

REFERENCES

M. Gardner,"Mathematical Games" Problem 1 pp. 20;23-4 in Scientific American Dec. 1979.

LINKS

Table of n, a(n) for n=1..47.

G. Darby, The Know,Don't Know Problem

R. V. Gassel et al., To Know, or Not To Know

K. Uhland, A Great Puzzle [Broken link?]

CROSSREFS

For the corresponding (unique) products see A086860.

The number pairs are given by {a(n) -+ A086888(n)}/2.

Sequence in context: A145850 A125992 A054402 * A226685 A108211 A255885

Adjacent sequences:  A086530 A086531 A086532 * A086534 A086535 A086536

KEYWORD

nonn

AUTHOR

Lekraj Beedassy, Sep 10 2003

STATUS

approved

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Last modified May 27 05:48 EDT 2020. Contains 334649 sequences. (Running on oeis4.)