Results

[ATH]

n=170-190 finally finished:

no factor for k*2^170+1 in k range: 1100000000000000 to 1125899906842623 (220-bit factors) [mmff 0.28 mfaktc_barrett220_F160_191gs]
no factor for k*2^170+1 in k range: 1125899906842624 to 1400000000000000 (221-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^171+1 in k range: 1100000000000000 to 1125899906842623 (221-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^171+1 in k range: 1125899906842624 to 1400000000000000 (222-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^172+1 in k range: 1100000000000000 to 1125899906842623 (222-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^172+1 in k range: 1125899906842624 to 1400000000000000 (223-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^173+1 in k range: 1100000000000000 to 1125899906842623 (223-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^173+1 in k range: 1125899906842624 to 1400000000000000 (224-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^174+1 in k range: 1100000000000000 to 1125899906842623 (224-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^174+1 in k range: 1125899906842624 to 1400000000000000 (225-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^175+1 in k range: 1100000000000000 to 1125899906842623 (225-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^175+1 in k range: 1125899906842624 to 1400000000000000 (226-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^176+1 in k range: 1100000000000000 to 1125899906842623 (226-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^176+1 in k range: 1125899906842624 to 1400000000000000 (227-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^177+1 in k range: 1100000000000000 to 1125899906842623 (227-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^177+1 in k range: 1125899906842624 to 1400000000000000 (228-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^178+1 in k range: 1100000000000000 to 1125899906842623 (228-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^178+1 in k range: 1125899906842624 to 1400000000000000 (229-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^179+1 in k range: 1100000000000000 to 1125899906842623 (229-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^179+1 in k range: 1125899906842624 to 1400000000000000 (230-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^180+1 in k range: 1100000000000000 to 1125899906842623 (230-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^180+1 in k range: 1125899906842624 to 1400000000000000 (231-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^181+1 in k range: 1100000000000000 to 1125899906842623 (231-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^181+1 in k range: 1125899906842624 to 1400000000000000 (232-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^182+1 in k range: 1100000000000000 to 1125899906842623 (232-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^182+1 in k range: 1125899906842624 to 1400000000000000 (233-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^183+1 in k range: 1100000000000000 to 1125899906842623 (233-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^183+1 in k range: 1125899906842624 to 1400000000000000 (234-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^184+1 in k range: 1100000000000000 to 1125899906842623 (234-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^184+1 in k range: 1125899906842624 to 1400000000000000 (235-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^185+1 in k range: 1100000000000000 to 1125899906842623 (235-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^185+1 in k range: 1125899906842624 to 1400000000000000 (236-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^186+1 in k range: 1100000000000000 to 1125899906842623 (236-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^186+1 in k range: 1125899906842624 to 1400000000000000 (237-bit factors) [mmff 0.28 mfaktc_barrett247_F160_191gs]
no factor for k*2^187+1 in k range: 1100000000000000 to 1125899906842623 (237-bit factors) [mmff 0.28 mfaktc_barrett247_F160_191gs]
no factor for k*2^187+1 in k range: 1125899906842624 to 1400000000000000 (238-bit factors) [mmff 0.28 mfaktc_barrett247_F160_191gs]
no factor for k*2^188+1 in k range: 1100000000000000 to 1125899906842623 (238-bit factors) [mmff 0.28 mfaktc_barrett247_F160_191gs]
no factor for k*2^188+1 in k range: 1125899906842624 to 1400000000000000 (239-bit factors) [mmff 0.28 mfaktc_barrett247_F160_191gs]
no factor for k*2^189+1 in k range: 1100000000000000 to 1125899906842623 (239-bit factors) [mmff 0.28 mfaktc_barrett247_F160_191gs]
no factor for k*2^189+1 in k range: 1125899906842624 to 1400000000000000 (240-bit factors) [mmff 0.28 mfaktc_barrett247_F160_191gs]
no factor for k*2^190+1 in k range: 1130T to 1400T (241-bit factors) [mmff 0.28 mfaktc_barrett247_F160_191gs]

[ET_]

Originally Posted by ATH

n=170-190 finally finished:

no factor for k*2^170+1 in k range: 1100000000000000 to 1125899906842623 (220-bit factors) [mmff 0.28 mfaktc_barrett220_F160_191gs]
no factor for k*2^170+1 in k range: 1125899906842624 to 1400000000000000 (221-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^171+1 in k range: 1100000000000000 to 1125899906842623 (221-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^171+1 in k range: 1125899906842624 to 1400000000000000 (222-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^172+1 in k range: 1100000000000000 to 1125899906842623 (222-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^172+1 in k range: 1125899906842624 to 1400000000000000 (223-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^173+1 in k range: 1100000000000000 to 1125899906842623 (223-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^173+1 in k range: 1125899906842624 to 1400000000000000 (224-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^174+1 in k range: 1100000000000000 to 1125899906842623 (224-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^174+1 in k range: 1125899906842624 to 1400000000000000 (225-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^175+1 in k range: 1100000000000000 to 1125899906842623 (225-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^175+1 in k range: 1125899906842624 to 1400000000000000 (226-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^176+1 in k range: 1100000000000000 to 1125899906842623 (226-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^176+1 in k range: 1125899906842624 to 1400000000000000 (227-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^177+1 in k range: 1100000000000000 to 1125899906842623 (227-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^177+1 in k range: 1125899906842624 to 1400000000000000 (228-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^178+1 in k range: 1100000000000000 to 1125899906842623 (228-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^178+1 in k range: 1125899906842624 to 1400000000000000 (229-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^179+1 in k range: 1100000000000000 to 1125899906842623 (229-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^179+1 in k range: 1125899906842624 to 1400000000000000 (230-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^180+1 in k range: 1100000000000000 to 1125899906842623 (230-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^180+1 in k range: 1125899906842624 to 1400000000000000 (231-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^181+1 in k range: 1100000000000000 to 1125899906842623 (231-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^181+1 in k range: 1125899906842624 to 1400000000000000 (232-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^182+1 in k range: 1100000000000000 to 1125899906842623 (232-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^182+1 in k range: 1125899906842624 to 1400000000000000 (233-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^183+1 in k range: 1100000000000000 to 1125899906842623 (233-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^183+1 in k range: 1125899906842624 to 1400000000000000 (234-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^184+1 in k range: 1100000000000000 to 1125899906842623 (234-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^184+1 in k range: 1125899906842624 to 1400000000000000 (235-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^185+1 in k range: 1100000000000000 to 1125899906842623 (235-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^185+1 in k range: 1125899906842624 to 1400000000000000 (236-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^186+1 in k range: 1100000000000000 to 1125899906842623 (236-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^186+1 in k range: 1125899906842624 to 1400000000000000 (237-bit factors) [mmff 0.28 mfaktc_barrett247_F160_191gs]
no factor for k*2^187+1 in k range: 1100000000000000 to 1125899906842623 (237-bit factors) [mmff 0.28 mfaktc_barrett247_F160_191gs]
no factor for k*2^187+1 in k range: 1125899906842624 to 1400000000000000 (238-bit factors) [mmff 0.28 mfaktc_barrett247_F160_191gs]
no factor for k*2^188+1 in k range: 1100000000000000 to 1125899906842623 (238-bit factors) [mmff 0.28 mfaktc_barrett247_F160_191gs]
no factor for k*2^188+1 in k range: 1125899906842624 to 1400000000000000 (239-bit factors) [mmff 0.28 mfaktc_barrett247_F160_191gs]
no factor for k*2^189+1 in k range: 1100000000000000 to 1125899906842623 (239-bit factors) [mmff 0.28 mfaktc_barrett247_F160_191gs]
no factor for k*2^189+1 in k range: 1125899906842624 to 1400000000000000 (240-bit factors) [mmff 0.28 mfaktc_barrett247_F160_191gs]
no factor for k*2^190+1 in k range: 1130T to 1400T (241-bit factors) [mmff 0.28 mfaktc_barrett247_F160_191gs]

Thank you!

[matzetoni]

Finished GFN divisor range n=22001-25000, k=2M-3M


No GFN divisor found :(


I attached all PRPs I found, maybe someone run a short divisor double check on them with pfgw64 -gxo


EDIT: should have posted in gfn results

[ET_]

Originally Posted by matzetoni

Finished GFN divisor range n=22001-25000, k=2M-3M


No GFN divisor found :(


I attached all PRPs I found, maybe someone run a short divisor double check on them with pfgw64 -gxo


EDIT: should have posted in gfn results

Thank you for the update.

Dis you send the results file to Prof. Keller?

Luigi
---

[Gary]

Originally Posted by matzetoni

Finished GFN divisor range n=22001-25000, k=2M-3M

No GFN divisor found :(

I attached all PRPs I found, maybe someone run a short divisor double check on them with pfgw64 -gxo

I tested your list of PRPs (184211 unique numbers) and verified that none of them is a GFN divisor. This was a bit surprising since my estimate for this particular range was 2.5 GFN factors. Looks like you were just unlucky this time. I hope you have better luck with your next range!

BTW, I noticed that there were 8 duplicate PRPs in your list:

2059589*2^22485+1
2059719*2^22485+1
2215627*2^22250+1
2219569*2^22250+1
2306235*2^22713+1
2555325*2^23235+1
2860173*2^22950+1
2904049*2^22782+1

Apparently whichever sieve program you are using can generate duplicates.

[matzetoni]

I have completed



FermatFactor=221,230,250000000000000,300000000000000


No factor found, result file is attached.

[matzetoni]

I used mtsieve for sieving. Could this be due to pfgw not updating the .ini file every tested number? So when I stop the running processes and restart, pfgw restarts somewhere before the last tested numbers and some numbers are tested twice, thus leading to a few duplicates.

Originally Posted by Gary

I tested your list of PRPs (184211 unique numbers) and verified that none of them is a GFN divisor. This was a bit surprising since my estimate for this particular range was 2.5 GFN factors. Looks like you were just unlucky this time. I hope you have better luck with your next range!

BTW, I noticed that there were 8 duplicate PRPs in your list:

2059589*2^22485+1
2059719*2^22485+1
2215627*2^22250+1
2219569*2^22250+1
2306235*2^22713+1
2555325*2^23235+1
2860173*2^22950+1
2904049*2^22782+1

Apparently whichever sieve program you are using can generate duplicates.

[rogue]

Originally Posted by matzetoni

I used mtsieve for sieving. Could this be due to pfgw not updating the .ini file every tested number? So when I stop the running processes and restart, pfgw restarts somewhere before the last tested numbers and some numbers are tested twice, thus leading to a few duplicates.

To reduce I/O on the .ini file pfgw will not write to it after every test. IIRC it writes at most once per second. These tests take less than a second.

[ATH]

n=191-200 finished

no factor for k*2^191+1 in k range: 1130T to 1400T (242-bit factors) [mmff 0.28 mfaktc_barrett247_F160_191gs]
no factor for k*2^192+1 in k range: 1130T to 1400T (243-bit factors) [mmff 0.28 mfaktc_barrett247_F192_223gs]
no factor for k*2^193+1 in k range: 1130T to 1400T (244-bit factors) [mmff 0.28 mfaktc_barrett247_F192_223gs]
no factor for k*2^194+1 in k range: 1130T to 1400T (245-bit factors) [mmff 0.28 mfaktc_barrett247_F192_223gs]
no factor for k*2^195+1 in k range: 1130T to 1400T (246-bit factors) [mmff 0.28 mfaktc_barrett247_F192_223gs]
no factor for k*2^196+1 in k range: 1130T to 1400T (247-bit factors) [mmff 0.28 mfaktc_barrett247_F192_223gs]
no factor for k*2^197+1 in k range: 1130T to 1400T (248-bit factors) [mmff 0.28 mfaktc_barrett249_F192_223gs]
no factor for k*2^198+1 in k range: 1130T to 1400T (249-bit factors) [mmff 0.28 mfaktc_barrett249_F192_223gs]
no factor for k*2^199+1 in k range: 1130T to 1400T (250-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^200+1 in k range: 1130T to 1400T (251-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]

[rogue]

n=220 k from 30e13 to 35e13

This range is done. Nothing found