Two Hundred Conjectures and One Hundred and Fifty Open Problems on Fermat Pseudoprimes, by Marius Coman, Education Publishing, Columbus, Ohio, 2013. ISBN 9781599732572.
This book is packed with a set of informed conjectures generally focused on the Carmichael and Poulet numbers and the Fermat pseudoprimes. The author relies on the OEIS (On-line Encyclopedia of Integer Sequences) database as the foundation for the initial verification of the statements.
It opens with 200 conjectures on Fermat pseudoprimes that also features Cipolla pseudoprimes and Harshad numbers. The next section contains 30 short papers on Fermat pseudoprimes and then a section of 30 sequences of Fermat pseudoprimes that includes the Poulet and Carmichael numbers. The last section has 150 open problems referencing the Fermat pseudo primes.
All of the material will be understandable to the person with a basic knowledge of congruencies and number theory. With this book Coman makes a significant contribution to mathematics. While solving problems is important, posing them is the necessary precondition.
This book is available for free at http://fs.gallup.unm.edu/eBooks-otherformats.htm.