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Old 2021-09-09, 08:18   #474
lghu
 
Nov 2019

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I found a Leyland PRP with more than 500,000 digits, details later...
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Old 2021-09-11, 12:38   #475
lghu
 
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pfgw64: ((100263^98600)+(98600^100263)) is 3-PRP! (7167.1435s+0.0099s)

ecpp-dj -bpsw: ((100263**98600)+(98600**100263)) PROBABLE PRIME (135355 sec)

Gabor Levai
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Old 2021-09-11, 12:43   #476
paulunderwood
 
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Quote:
Originally Posted by lghu View Post
pfgw64: ((100263^98600)+(98600^100263)) is 3-PRP! (7167.1435s+0.0099s)

ecpp-dj -bpsw: ((100263**98600)+(98600**100263)) PROBABLE PRIME (135355 sec)

Gabor Levai
Although it good to us another library, for numbers of this size you can use the -tc switch of PFGW to get a combined Fermat+Lucas result, which is much quicker.

Congrats for such a huge find.

Last fiddled with by paulunderwood on 2021-09-11 at 12:46
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Old 2021-09-12, 09:33   #477
pxp
 
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100263^98600+98600^100263,500702

If you haven't already done so, you should submit this to PRPTop, here.
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Old 2021-09-13, 08:39   #478
lghu
 
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Quote:
Originally Posted by paulunderwood View Post
Although it good to us another library, for numbers of this size you can use the -tc switch of PFGW to get a combined Fermat+Lucas result, which is much quicker.

Congrats for such a huge find.
Thanks.
((100263^98600)+(98600^100263)) is Fermat and Lucas PRP! (37359.5544s+0.0101s)
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Old 2021-11-05, 10:48   #479
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Another new PRP:
35820^35899+35899^35820, 163489 digits.
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Old 2021-11-06, 02:51   #480
pxp
 
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I have now finished testing the Leyland numbers in the interval from L(300999,10) to L(301999,10) and have found therein 12 PRPs. Next interval is L(301999,10) - L(302999,10).
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Old 2021-11-09, 12:19   #481
lghu
 
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A prime number: 100207, a square number: 99856 (=316^2), a PRP: 100207^99856+99856^100207.
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Old 2021-12-21, 12:09   #482
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In order to occupy a handful of old spare cores, I've been sieving a small number of my "LLPH" [greater than Yusuf AttarBashi's L(81650,54369), less than L(390000,10)] Leyland numbers. The by-digit-length sieved files average 300-or-so candidates, plus-or-minus 40. I was curious how fast the candidates would PFGW-resolve on a recently-acquired 2020 iMac, so I took the file for digit-length 390000 and ran it.

I guessed that I had maybe a 1% chance of finding a PRP, but I got lucky: L(95196,12497).
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Old 2021-12-21, 13:34   #483
lghu
 
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I found a new PRP: 101311^90816+90816^101311 [502317 digit].
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Old 2022-01-11, 01:07   #484
pxp
 
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I have now finished testing the Leyland numbers in the interval from L(301999,10) to L(302999,10) and have found therein 10 PRPs. Next interval is L(302999,10) - L(303999,10).
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