Known 176-digit prime factors of googolduplex − 1

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  3. Known 176-digit prime factors of googolduplex − 1

This is a list of known 176-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. 116560 1335335437 4425516771 4409411134 3985444103 4312837127 5108744584 3342571123 1250989056 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  2. 124515 5873338672 9505325039 0249707136 9843848039 7441315010 6760954736 6131431306 5162032766 8557464463 1738674918 4604033207 0157768387 5770075072 6087335351 6217321157 4554443359 3750000001 (Phil Carmody, k=11)
  3. 130578 9676022251 2747065512 1181487138 7220879497 1930258481 1325378017 1908217963 7222945658 1664310193 1398885755 8466560000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=139)
  4. 138777 8780781445 6755295395 8511352539 0625000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  5. 144673 2273910344 9791286948 3116082847 1183776855 4687500000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=427)
  6. 178786 6031161399 4942571614 4454401647 6405493169 3973696425 5815381321 7649625381 6859314929 2233131540 3047201600 7450601717 7600000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=363)
  7. 236412 0371783668 7527367424 0600861682 8304784356 2279268000 7689760425 4743306289 8326366848 5597529309 4938448397 6794184089 6000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  8. 242085 9260706476 8028024242 2375282363 2184099180 7773970432 7874314675 6857145640 7886199652 9251870012 9216971159 2237244507 7504000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  9. 244140 6250000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  10. 397540 5895751364 7415624193 7667156666 0611838767 9701426557 7361395290 8394496000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  11. 435944 7466912357 2949434118 1394771642 1244736507 6345572174 7463214986 0870615670 6717463391 5042483467 0240578273 3624038817 4737438880 9807773976 3986492512 1025834377 5625543680 0000000001 (Phil Carmody, k=969)
  12. 436557 4568510055 5419921875 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  13. 453151 1424341422 6223600579 5300214705 8015220531 2000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=127)
  14. 477656 8378449331 3140434549 3719193635 7553474179 5171536583 4034277079 4077659869 8966847267 3549549525 6306361605 0294149366 9099122323 7225049132 7424982351 2040531180 5389468287 1217520641 (Phil Carmody, k=309)
  15. 584600 6549323611 6728147393 3086513207 8623730171 9040000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  16. 782410 6724106279 4855278790 6732705209 8509706955 1922153957 9937926490 4273139264 2181791349 5517449426 7797928214 9075525024 4482268268 1202508092 6105147227 6449203491 2109375000 0000000001 (Phil Carmody, k=27)
  17. 845800 4259624149 3512535174 1768919752 3157484139 0619550690 7016230719 9758231565 7173371667 2237613153 4864889991 5783032838 9289859447 2503637220 4840517952 1068930625 9155273437 5000000001 (Phil Carmody, k=467)
  18. 939417 0331095332 9115579223 8715734810 9502730195 6332794828 2916388612 8836100458 4337738547 9599353907 4812127739 9040000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)