Subject: Factors of j(tau) n=179 Date: Thu, 15 Oct 1998 11:50:34 +0000 From: Allan MacLeod <MACL-MS0@wpmail.paisley.ac.uk> To: kc2h-msm@asahi-net.or.jp Hello, You recently added coefficients of the elliptic modular function j(tau) to your tables. This morning - 15 Oct 1998 - the only coefficient unfactored between 100 and 200 was number 179. I have managed to factor it with GMP-ECM. Here is the output GMP-ECM 3, by P. Zimmermann (Inria), 17 Sep 1998, with contributions from T. Granlund, P. Leyland, C. Curry, A. Stuebinger, G. Woltman, JC. Meyrignac. Input number is 24955627382335707905782461261751597173516369235750661180545899333506711 (71 digits) Using B1=1000000, B2=100000000, polynomial x^18, sigma=1805537839 Step 1 took 362307ms for 12986907 muls, 3 gcdexts Step 2 took 108627ms for 5771003 muls, 12687 gcdexts ********** Factor found in step 2: 1985254459399353768421421 Found probable prime factor of 25 digits: 1985254459399353768421421 Probable prime cofactor 12570493048979790321053802851574262126929809491 has 47 digits I will try to do some of the 200-300 range. Allan MacLeod