Some new Generalized Cullen and Woodall primes
 

(off-topic) It looks like PrimeGrid found either a Cullen or a Woodall.
We will likely see it posted in a couple days.

The n is apparently going to be even (in n*b[SUP]n[/SUP] +/- 1, and n >> 17,000,000, so -- more than a 5 million digiter).
Super! :rolleyes:

P.S. Well, [B]this is a generalized Cullen[/B] ...slightly less exciting - but still very cool.

[QUOTE=Batalov;525039](off-topic) It looks like PrimeGrid found either a Cullen or a Woodall.
We will likely see it posted in a couple days.

The n is apparently going to be even (in n*b[SUP]n[/SUP] +/- 1, and n >> 17,000,000, so -- more than a 5 million digiter).
Super! :rolleyes:[/QUOTE]

I am looking forward to their publication of their new top 20 prime.

It is actually 3,921,539 digits (rank 21) and is being [URL="https://primes.utm.edu/primes/page.php?id=129893"]tested at UTM[/URL] now. The newly discovered prime is 2805222*25^2805222+1

Serge played a part in this by noting that n*b^n+-1 can be tested quicker by testing n*(sqrt(b))^(2*n)+-1, by over 10% when using the LLR program.

[QUOTE=paulunderwood;525065]It is actually 3,921,539 digits (rank 21) and is being [URL="https://primes.utm.edu/primes/page.php?id=129893"]tested at UTM[/URL] now. The newly discovered prime is 2805222*25^2805222+1

Serge played a part in this by noting that n*b^n+-1 can be tested quicker by testing n*(sqrt(b))^(2*n)+-1, by over 10% 0when using the LLR program.[/QUOTE]

Once verified (as far as UTM goes) it will be the largest prime discovered this year 2019.

It becomes the largest Generalized Cullen superseding the one discovered last year in March that had 2,913,785 digits.

[URL="http://www.primegrid.com/download/gc41-1806676.pdf"]http://www.primegrid.com/download/gc41-1806676.pdf[/URL]

Yeaaa on the way to 100M digits! Any long way starts with a small step...
Congrats!

{blowhard mode on}

My GW is still top 1! :-)

{blowhard mode off /}

[QUOTE=rudy235;525121]Once verified (as far as UTM goes) it will be the largest prime discovered this year 2019.

It becomes the largest Generalized Cullen superseding the one discovered last year in March that had 2,913,785 digits.

[URL="http://www.primegrid.com/download/gc41-1806676.pdf"]http://www.primegrid.com/download/gc41-1806676.pdf[/URL][/QUOTE]

Finally, we have the official announcement ready.

[URL="http://www.primegrid.com/download/gc25-2805222.pdf"]http://www.primegrid.com/download/gc25-2805222.pdf[/URL]

A generalized Woodall is on its way, too. (and it is a near-quasi-repdigit, too.)

[SPOILER]There could be a couple more in the bag - over a week or so.[/SPOILER]

[QUOTE=Batalov;525990]A generalized Woodall is on its way, too. (and it is a near-quasi-repdigit, too.)

[SPOILER]There could be a couple more in the bag - over a week or so.[/SPOILER][/QUOTE]

Congrats to you and Ryan for the 3,028,951 digit prime [URL="https://primes.utm.edu/primes/page.php?id=129954"]874208 *2916^874208 - 1[/URL]

Congrats ro Serge and Ryan for the 20th largest known prime: [URL="https://primes.utm.edu/primes/page.php?id=130058"]2740879*32^2740879 - 1[/URL]

[QUOTE=paulunderwood;529023]Congrats ro Serge and Ryan for the 20th largest known prime: [URL="https://primes.utm.edu/primes/page.php?id=130058"]2740879*32^2740879 - 1[/URL][/QUOTE]


It is the largest Generalized Woodall and with 4125441 digits it is the Third Prime with more than 4 million Digits [I](and < than 5M)[/I]
Congratulations to Ryan and Serge

:banana:

Newest [COLOR="Red"][B]Generalized Woodall[/B][/COLOR] (Serge and Ryan seem to be on a roll)

Congratulations! Ranks as 21st largest prime.

479216 · 3[SUP]8625889[/SUP] - 1 . 4115601 digits. (relatively close to the October one)

Canonical form:
1437648 · 729[SUP]1437648[/SUP] - 1

I am I right in thinking the "canonical form" is quicker? It is taking a fair time to verify at UTM on a single core. :smile:

No, they are just using the abacus to check it.
[SPOILER](Well, seriously, they are running a 1-threaded PFGW for some legacy reason... when base>2?)[/SPOILER]

UTM confirmed it prime in "10.21 days" -- how long did it take you, Serge?

llr, 16 (or 32) threads, ~1 day