Mersenne numbers with smoothest P-1 factors:
Top 1,322 factors (top 100 per 10M range) listed here
Exponent Factor Bits min B1 min B2 Ratio ↑k (factored)
M80,078,5276157570526631572535696175.703116198.1824 × 3 × 5 × 11 × 43 × 73 × 241 × 311 × 619
M785,3471470969414212304753.71794438.2533 × 11 × 17 × 53 × 79 × 443
M86,599,23780188865537189002534035179.415416598.3033 × 52 × 137 × 317 × 443 × 541 × 659
M44,979,523768156609559062865224772.705876078.3532 × 11 × 59 × 89 × 461 × 587 × 607
M55,455,137350601752599402670484171.574016018.4022 × 3 × 5 × 47 × 193 × 241 × 401 × 601
M1,458,75732619342970397820158.184394918.4422 × 3 × 52 × 7 × 13 × 19 × 439 × 491
M640,7272603925686901432154.532894618.4523 × 3 × 5 × 172 × 31 × 41 × 461
M69,926,23114308301963832054906568976.924316538.4922 × 3 × 192 × 53 × 71 × 223 × 431 × 653
M46,194,99739118293929617440900168.415475878.5822 × 3 × 53 × 59 × 149 × 547 × 587
M51,870,317348238110781608232888724981.535717098.7023 × 41 × 53 × 73 × 223 × 293 × 571 × 709
M71,907,43961262363363493867380969.055876018.7023 × 192 × 37 × 113 × 587 × 601
M59,175,40914724456735725909391555176.963616738.7433 × 52 × 7 × 192 × 61 × 109 × 163 × 673
M48,960,073111129561811811081440169.911376178.8325 × 52 × 112 × 19 × 73 × 137 × 617
M47,091,08941823558012808067392768.504216138.9511 × 17 × 19 × 29 × 167 × 421 × 613
M613,28933446670921905599958.213675218.9533 × 13 × 17 × 239 × 367 × 521
M46,313,983127757559255936250073721780.081817198.9825 × 3 × 13 × 67 × 73 × 97 × 179 × 181 × 719
M58,709,14173830070526226154875169.326256259.0233 × 54 × 72 × 139 × 227 × 241
M50,382,9315358796938006820035343175.502116839.055 × 72 × 11 × 67 × 107 × 191 × 211 × 683
M1,753,561100640700275184572959.805095419.0524 × 11 × 31 × 191 × 509 × 541
M653,3119333489471656796156.371995239.2822 × 33 × 5 × 31 × 41 × 199 × 523
M32,758,82938607999801704594623024178.355937399.4324 × 5 × 13 × 139 × 167 × 557 × 593 × 739
M50,407,24325847710535728039701767.813176419.4522 × 33 × 11 × 13 × 19 × 43 × 317 × 641
M53,489,77171499692139585251232769.283116619.5432 × 72 × 13 × 53 × 107 × 311 × 661
M1,315,21149694282713089064958.794435639.5822 × 32 × 53 × 397 × 443 × 563
M2,733,87713341872634047514637766.854576419.5922 × 13 × 23 × 257 × 271 × 457 × 641
M1,655,59781220647300942936159.49895719.6023 × 3 × 5 × 19 × 29 × 73 × 89 × 571
M53,732,387410463400137341262412971.805236919.6227 × 3 × 11 × 131 × 191 × 523 × 691
M1,942,48385911314946324192159.583475779.6925 × 32 × 5 × 13 × 59 × 347 × 577
M50,433,5331688468649599395239919373.843897199.7422 × 33 × 112 × 132 × 271 × 389 × 719
M897,47330037921368536974358.061635699.803 × 7 × 11 × 73 × 107 × 163 × 569
M1,328,68318060529129103499157.335415699.933 × 5 × 41 × 359 × 541 × 569
M91,019,0292360076858937399403253774.323177399.9422 × 33 × 127 × 157 × 257 × 317 × 739
M81,941,149113645625502390022941187379.915697979.9724 × 11 × 19 × 67 × 131 × 521 × 569 × 797
M545,02313070656484473711156.8646356910.015 × 29 × 43 × 73 × 463 × 569
M1,060,17711979248010436200156.7312557110.0623 × 3 × 53 × 13 × 43 × 59 × 571
M55,867,93790300775881192883404169.6131770910.1822 × 3 × 5 × 41 × 47 × 311 × 317 × 709
M1,870,30753726656909297911158.9034360710.313 × 5 × 73 × 11 × 37 × 113 × 607
M55,678,6191902851274701277652067374.0161776910.3924 × 157 × 307 × 467 × 617 × 769
M67,293,881373632886708002125415753781.6358785910.5224 × 3 × 23 × 31 × 53 × 127 × 239 × 587 × 859
M508,51714835417292477310357.0419360110.547 × 23 × 73 × 107 × 193 × 601
M83,543,43130764746407687267432303178.0323382310.5532 × 5 × 7 × 11 × 113 × 137 × 179 × 233 × 823
M846,77911825805766306339356.7110359910.5624 × 3 × 17 × 19 × 73 × 103 × 599
M70,033,16922604082039208339507367.6268371910.6328 × 3 × 11 × 389 × 683 × 719
M843,36125027568062240392757.8057761710.683 × 7 × 89 × 223 × 577 × 617
M949,63137273532874448500158.3762562510.7122 × 32 × 54 × 72 × 17 × 37 × 283
M74,149,6335478282186692252723521775.5449181110.7423 × 31 × 53 × 163 × 433 × 491 × 811
M452,03326958312940387796957.9034763110.9023 × 7 × 83 × 293 × 347 × 631
M43,355,597536538673760177506316972.1864178710.9026 × 112 × 47 × 337 × 641 × 787
M85,872,67313224990728316739665021776.8143183910.9222 × 3 × 192 × 31 × 101 × 157 × 431 × 839
M64,287,9737182763475922219963148975.9384184111.0826 × 3 × 11 × 13 × 23 × 292 × 53 × 89 × 223

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