Known 335-digit prime factors of googolduplex − 1

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  3. Known 335-digit prime factors of googolduplex − 1

This is a list of known 335-digit prime factors of googolduplex − 1, i.e., 1010^(10^100) − 1.

These numbers have the form 1 + 2k × 2m × 5n, where 0 ≤ m ≤ 10100 and 0 ≤ m ≤ 10100.

In the list you can see the prime factors, their discoverer and their corresponding value of k.

  1. 15316 4035694724 0137198537 5063290747 0533783083 2792734668 4790468664 4969591892 5354312274 7913133615 1456225367 5102261288 6321810988 1713046084 1677525916 8071431708 4888768223 2846254858 5049462651 7689040567 0681439352 3576676485 0919376547 3127327109 9470291111 6690027815 1459247055 7545311748 9814758300 7812500000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=81)
  2. 16838 1905859712 0207711849 7805602925 4554049892 0787311200 8332613471 9517710236 9548538765 8135742248 0485963107 3965046840 2343300165 9608337567 8583662977 5846693744 6412281517 4309732641 4888570411 6764827631 4139366149 9023437500 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=343)
  3. 18422 4909057953 3933454913 3154594358 2159731575 1568896694 3760890886 3764821484 6965488745 7530959860 6246043878 8622579455 1436933287 2746699082 3589741042 9810069562 5839406943 6690188013 0171775817 8710937500 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=699)
  4. 71436 7119551421 8638848647 1769083809 9657443746 7642491632 5945365201 7270397441 7113722971 5501366260 7518530739 4089708587 6764513783 8351427449 2194537764 3338127577 6228446260 8600532881 3028489981 4345016353 5173036422 0657065743 5804605484 0087890625 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  5. 80539 8146650408 2626172750 8636493584 7675621295 0194409442 7611352703 8509455852 7815077004 8480909987 4773420475 4297099044 4881856661 1647022805 4449918579 0083037681 6385275115 2629460976 5092014086 4627683185 9722733497 6196289062 5000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=21)