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| Title: | Mathematics at DEC |
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| Moderator: | RUSURE::EDP |
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| Created: | Mon Feb 03 1986 |
| Last Modified: | Fri Jun 06 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 2083 |
| Total number of notes: | 14613 |
350.0. "Ordered pairs" by TOOLS::STAN () Thu Oct 17 1985 14:27
(Claudia Spiro)
Let S be the set of ordered pairs of integers defined recursively by
(i) (2,1) is in S
(ii) If (a,b) is in S then (b,a+b) is in S
(iii) If (a,b) and (c,d) are in S, then (ac,bd) is in S.
Is every positive integer a first entry of some member of S?
Selfridge conjectures that every positive integer except 2 is a second
entry of some member of S.
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