Zhi-Wei Sun
Published 2009-11-30, updated 2011-10-05Version 59
We collect here various conjectures on congruences made by the author in a series of papers, some of which involve binary quadratic forms and other advanced theories. Part A consists of 100 unsolved conjectures of the author while conjectures in Part B have been recently confirmed. We hope that this material will interest number theorists and stimulate further research. Number theorists are welcome to work on those open conjectures; for some of them we offer prizes for the first correct proofs.
Comments: 88 pages. For new additions, see Conj. A76-85
Congruences involving generalized central trinomial coefficients
On some new congruences for binomial coefficients
Congruences involving $\binom{2k}k^2\binom{3k}km^{-k}$
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