On the 2 discoveries below: my article on Gérardin just published in the new issue of a magazine titled "Les Génies de la Science". As I said, Gérardin is one of the most quoted authors referenced by Leonard E. Dickson in his History of the Theory of Numbers. If you are interested by this article with anecdotes (for example visit of D.H. Lehmer and Emma Lehmer to Gérardin in 1939), with images of written computations on Mersenne numbers done by Fauquembergue, with an image of his 1937 machine for factorisations and prime numbers,... but article written in French... send me a direct message: I will send scanned images of this article in colour. Christian. -----Message d'origine----- De : math-fun-bounces+cboyer=club-internet.fr@mailman.xmission.com [mailto:math-fun-bounces+cboyer=club-internet.fr@mailman.xmission.com] De la part de Christian Boyer Envoyé : jeudi 5 mai 2005 10:27 À : 'math-fun' Objet : [math-fun] Found in the IHP cellar! 2/2 ---- FAUQUEMBERGUE computations And I have the chance to have discovered, again in the cellar of the Institut Henri Poincaré, the original handwritten computations on Mersenne numbers M101, M103, and M109 as sent by Fauquembergue to André Gérardin. http://www.utm.edu/research/primes/mersenne/LukeMirror/lit/lit_008s.htm These computations done in 1913-1914 were... false, as found by Robinson 40 years later: http://www.utm.edu/research/primes/mersenne/LukeMirror/lit/lit_024s.htm Within the huge number of handwritten 0s and 1s, the game would be to locate the first line where the error occurs! I can send .JPG photos to interested people. Christian. -----Message d'origine----- De : math-fun-bounces+cboyer=club-internet.fr@mailman.xmission.com [mailto:math-fun-bounces+cboyer=club-internet.fr@mailman.xmission.com] De la part de Christian Boyer Envoyé : jeudi 5 mai 2005 10:22 À : 'math-fun' Objet : [math-fun] Found in the IHP cellar! 1/2 ---- DIOPHANTE magazine I have the chance to have discovered very recently, in the cellar of the Institut Henri Poincaré, Paris, the originals of all the issues of an old magazine on number theory named "Diophante" that everybody thought lost, written in 1948-1952 by André Gérardin at the end of his life. Gérardin (1879-1953), and its first magazine "Sphinx-Oedipe", is one of the most quoted authors referenced by Leonard E. Dickson in his "History of the Theory of Numbers", both Vol 1 and Vol 2. And also one of the most quoted authors referenced by Hugh C. Williams in his 1998 book "Edouard Lucas and Primality Testing". For example, in Diophante, there are several articles written by Aimé Ferrier, holder of the biggest known prime number in 1951: his prime is still today the largest prime found without electronic computer. http://mathworld.wolfram.com/FerriersPrime.html The IHP library will reprint this magazine for some other French libraries. If you know other libraries, out of France, which may be interested by this reprint, send me a message at cboyer@club-internet.fr. I will pass the info to the IHP library. To interested people, I can also send my preface published in this reprint (PDF file... written in French). Best regards. Christian.