Got ONE!!
/usr/local/bin/overseis.p4 -t -q 49152 1269203662322
OversEis version:0.92F Weighting:0.2o/c=s+r/s=r/l=sB/^2 Transform:DJB+PC
Phi(49152,1269203662322) Form Phi(2^14*3^1,b) uses 16384 type-1 limbs
(size="14")
: base 1269203662322 has 2 factors.
11^((p-1)/1593238) = 655360 651264 647168 643072 638976
634880 630784 626688 622592 618496 614400
610304 606208 602112 598016 593920 589824
585728 581632 577536 573440 569344 565248
561152 557056 552960 548864 544768 540672
536576 532480 528384 524288 520192 516096
512000 507904 503808 499712 495616 491520
487424 483328 479232 475136 471040 466944
462848 458752 454656 450560 446464 442368
438272 434176 430080 425984 421888 417792
413696 409600 405504 401408 397312 393216
389120 385024 380928 376832 372736 368640
364544 360448 356352 352256 348160 344064
339968 335872 331776 327680
323584 319488 315392 311296 307200 303104
299008 294912 290816 286720 282624 278528
274432 270336 266240 262144 258048 253952
249856 245760 241664 237568 233472 229376
225280 221184 217088 212992 208896 204800
200704 196608 192512 188416 184320 180224
176128 172032 167936 163840 159744 155648
151552 147456 143360 139264 135168 131072
126976 122880 118784 114688 110592 106496
102400 098304 094208 090112 086016 081920
077824 073728 069632 065536 061440 057344
053248 049152 045056 040960 036864 032768
028672 024576 020480 016384 012288 008192
004096 000000 (334186761171+-68929388605
2w), maxerr=0.136734. not '1', good.
11^(p-1) = (1+0w), maxerr=0.136734 => is Fermat 11-PRP.
11^(p-1)/2 :(-1+0w), maxerr=0.098267 => 2^8192 divides order, 1.24%
11^(p-1)/796619 :(-115073251261+-278157581894w), maxerr=0.082775 =>
634601831161^8192 divides order, 48.76%
50.00% attained for Pocklington (contingent on maxerr=0.136734)
Time=1557.070 => is prime.




--
BobH
bobhillegas@...


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