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Old 2006-04-10, 16:47   #6
R.D. Silverman
 
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Nov 2003

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Quote:
Originally Posted by rogue
If you post the composites and how much ECM has been done on each, I'm certain that one or more people would throw some resources your way.
I have run about 300 curves with first limit 1M (a small effort)
Here are the remaining composites with n <= 400.

3^n + 2^n

362 (2) 10840121857.C162
367 (1) 6607.13768373.208782631.17491804898039039514781661.C130
371 (1,7,53) 204389653550334425652053.C126
372 (4,12,124) 5953.C111
379 (1) C181
382 (2) 2293.398047057.C170
383 (1) 2756069.C176
386 (2) 5037855841.2420114303415642626173.2923813115488399382449.C131
388 (4) 3881.97777.C175
394 (2) 99289.347671117.182870936735296723148317.C151
400 (16,80) 19995617469086942401.C134

3^n - 2^n

335 (1,5,67) 161471.2677857341.459904255060815869460551.C88
337 (1) 9785807.C154
343 (1,7,49) 125539.C136
347 (1) 2083.4855947384634671768060977183621.C132
349 (1) 83757907.51095243093.25596540763065937603.11848591000104763324365120718891.C98
353 (1) 4943.7460934577.3939214450103.7049420316073.C130
359 (1) 719.16208386597057.231558857865697.283082202603561296656613.C118
363 (1,3,11,33,121) 2179.1061406858984187.C87
365 (1,5,73) 944621.C132
367 (1) 2203.3671.17250374783.C158
371 (1,7,53) 743.54167.C141
373 (1) 15667.2262619.249965951.C160
379 (1) 419933.885345041389532803.C158
389 (1) 9337.C182
391 (1,17,23) 4741267.C161
395 (1,5,79) 38711.C144
397 (1) 12509122229.183139575629088302014027581573180839.C145

Note that 3,2,335- and 3,2,363- are totally trivial with SNFS;
I just haven't done them.


Several others are quite easy.
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