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Message boards : General discussion : Row of numbers

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Profile Crun-chiProject donor
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Joined: 25 Nov 09
Posts: 3059
ID: 50683
Credit: 63,361,547
RAC: 1
Eliminated 1 conjecture "k"Found 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Silver: Earned 100,000 credits (229,492)Cullen LLR Silver: Earned 100,000 credits (110,733)PPS LLR Jade: Earned 10,000,000 credits (11,335,374)PSP LLR Silver: Earned 100,000 credits (104,385)SoB LLR Silver: Earned 100,000 credits (106,117)SR5 LLR Silver: Earned 100,000 credits (139,802)SGS LLR Amethyst: Earned 1,000,000 credits (1,325,207)TRP LLR Gold: Earned 500,000 credits (626,755)Woodall LLR Silver: Earned 100,000 credits (122,944)321 Sieve (suspended) Silver: Earned 100,000 credits (104,900)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,599)Generalized Cullen/Woodall Sieve (suspended) Gold: Earned 500,000 credits (515,556)PPS Sieve Jade: Earned 10,000,000 credits (11,855,975)TRP Sieve (suspended) Silver: Earned 100,000 credits (255,612)AP 26/27 Ruby: Earned 2,000,000 credits (2,583,960)WW Amethyst: Earned 1,000,000 credits (1,088,000)GFN Sapphire: Earned 20,000,000 credits (23,334,026)PSA Turquoise: Earned 5,000,000 credits (7,522,050)
Message 73620 - Posted: 19 Feb 2014 | 12:39:34 UTC

44,4604,17780

can someone calculate next few numbers in this row?
Thanks
____________
92*10^1439761-1 NEAR-REPDIGIT PRIME :) :) :)
4 * 650^498101-1 CRUS PRIME
314187728^131072+1 GENERALIZED FERMAT
Proud member of team Aggie The Pew. Go Aggie!

Usucapio LibertatisProject donor
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Joined: 21 Apr 10
Posts: 742
ID: 59072
Credit: 674,169,235
RAC: 425,796
Discovered 1 mega prime2012 Tour de Primes highest prime scoreFound 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (14,136,498)Cullen LLR Ruby: Earned 2,000,000 credits (2,665,899)ESP LLR Ruby: Earned 2,000,000 credits (3,534,661)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,005,831)PPS LLR Jade: Earned 10,000,000 credits (13,444,750)PSP LLR Ruby: Earned 2,000,000 credits (2,414,623)SoB LLR Ruby: Earned 2,000,000 credits (4,391,412)SR5 LLR Ruby: Earned 2,000,000 credits (2,716,765)SGS LLR Ruby: Earned 2,000,000 credits (2,389,989)TRP LLR Ruby: Earned 2,000,000 credits (4,112,658)Woodall LLR Amethyst: Earned 1,000,000 credits (1,664,441)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,106,124)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,449,019)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,388,253)PPS Sieve Double Silver: Earned 200,000,000 credits (415,586,046)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,072,601)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,441,257)AP 26/27 Sapphire: Earned 20,000,000 credits (21,294,481)WW Sapphire: Earned 20,000,000 credits (33,760,000)GFN Emerald: Earned 50,000,000 credits (56,641,306)PSA Emerald: Earned 50,000,000 credits (79,952,619)
Message 73624 - Posted: 19 Feb 2014 | 13:40:24 UTC - in response to Message 73620.

Next term is larger than 230000...
____________
676754^262144+1 is prime

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Joined: 25 Nov 09
Posts: 3059
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Credit: 63,361,547
RAC: 1
Eliminated 1 conjecture "k"Found 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Silver: Earned 100,000 credits (229,492)Cullen LLR Silver: Earned 100,000 credits (110,733)PPS LLR Jade: Earned 10,000,000 credits (11,335,374)PSP LLR Silver: Earned 100,000 credits (104,385)SoB LLR Silver: Earned 100,000 credits (106,117)SR5 LLR Silver: Earned 100,000 credits (139,802)SGS LLR Amethyst: Earned 1,000,000 credits (1,325,207)TRP LLR Gold: Earned 500,000 credits (626,755)Woodall LLR Silver: Earned 100,000 credits (122,944)321 Sieve (suspended) Silver: Earned 100,000 credits (104,900)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,599)Generalized Cullen/Woodall Sieve (suspended) Gold: Earned 500,000 credits (515,556)PPS Sieve Jade: Earned 10,000,000 credits (11,855,975)TRP Sieve (suspended) Silver: Earned 100,000 credits (255,612)AP 26/27 Ruby: Earned 2,000,000 credits (2,583,960)WW Amethyst: Earned 1,000,000 credits (1,088,000)GFN Sapphire: Earned 20,000,000 credits (23,334,026)PSA Turquoise: Earned 5,000,000 credits (7,522,050)
Message 73626 - Posted: 19 Feb 2014 | 14:07:50 UTC - in response to Message 73624.

can you be more precise?
few more, not just one...
thanks
____________
92*10^1439761-1 NEAR-REPDIGIT PRIME :) :) :)
4 * 650^498101-1 CRUS PRIME
314187728^131072+1 GENERALIZED FERMAT
Proud member of team Aggie The Pew. Go Aggie!

Usucapio LibertatisProject donor
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Joined: 21 Apr 10
Posts: 742
ID: 59072
Credit: 674,169,235
RAC: 425,796
Discovered 1 mega prime2012 Tour de Primes highest prime scoreFound 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (14,136,498)Cullen LLR Ruby: Earned 2,000,000 credits (2,665,899)ESP LLR Ruby: Earned 2,000,000 credits (3,534,661)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,005,831)PPS LLR Jade: Earned 10,000,000 credits (13,444,750)PSP LLR Ruby: Earned 2,000,000 credits (2,414,623)SoB LLR Ruby: Earned 2,000,000 credits (4,391,412)SR5 LLR Ruby: Earned 2,000,000 credits (2,716,765)SGS LLR Ruby: Earned 2,000,000 credits (2,389,989)TRP LLR Ruby: Earned 2,000,000 credits (4,112,658)Woodall LLR Amethyst: Earned 1,000,000 credits (1,664,441)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,106,124)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,449,019)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,388,253)PPS Sieve Double Silver: Earned 200,000,000 credits (415,586,046)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,072,601)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,441,257)AP 26/27 Sapphire: Earned 20,000,000 credits (21,294,481)WW Sapphire: Earned 20,000,000 credits (33,760,000)GFN Emerald: Earned 50,000,000 credits (56,641,306)PSA Emerald: Earned 50,000,000 credits (79,952,619)
Message 73629 - Posted: 19 Feb 2014 | 15:01:15 UTC - in response to Message 73626.

The only relation I can find is this:

9998 *10^44-1 is prime
9998*10^4604-1 is prime
9998*10^17780-1 is prime.

According to this, n as been tested up to 230 000 and no other prime was found, so the next term of the sequence (if there is one) must be larger than that.

I thought you already knew that.

I don't think it is possible to calculate the next few terms, but I would gladly be proven wrong.
____________
676754^262144+1 is prime

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Joined: 25 Nov 09
Posts: 3059
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Credit: 63,361,547
RAC: 1
Eliminated 1 conjecture "k"Found 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Silver: Earned 100,000 credits (229,492)Cullen LLR Silver: Earned 100,000 credits (110,733)PPS LLR Jade: Earned 10,000,000 credits (11,335,374)PSP LLR Silver: Earned 100,000 credits (104,385)SoB LLR Silver: Earned 100,000 credits (106,117)SR5 LLR Silver: Earned 100,000 credits (139,802)SGS LLR Amethyst: Earned 1,000,000 credits (1,325,207)TRP LLR Gold: Earned 500,000 credits (626,755)Woodall LLR Silver: Earned 100,000 credits (122,944)321 Sieve (suspended) Silver: Earned 100,000 credits (104,900)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,599)Generalized Cullen/Woodall Sieve (suspended) Gold: Earned 500,000 credits (515,556)PPS Sieve Jade: Earned 10,000,000 credits (11,855,975)TRP Sieve (suspended) Silver: Earned 100,000 credits (255,612)AP 26/27 Ruby: Earned 2,000,000 credits (2,583,960)WW Amethyst: Earned 1,000,000 credits (1,088,000)GFN Sapphire: Earned 20,000,000 credits (23,334,026)PSA Turquoise: Earned 5,000,000 credits (7,522,050)
Message 73633 - Posted: 19 Feb 2014 | 16:52:15 UTC - in response to Message 73629.

I calculated next sequence

68664
265019
1023238

But of course as you say, no one exponent or near exponents to those numbers are not prime..
So my theory falls apart :)))
P.S nice table, little outdated but good for reference :)
____________
92*10^1439761-1 NEAR-REPDIGIT PRIME :) :) :)
4 * 650^498101-1 CRUS PRIME
314187728^131072+1 GENERALIZED FERMAT
Proud member of team Aggie The Pew. Go Aggie!

DirkProject donor
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Joined: 10 Mar 10
Posts: 513
ID: 56675
Credit: 731,699,063
RAC: 890
Discovered 1 mega primeDiscovered 1 Fermat divisor321 LLR Turquoise: Earned 5,000,000 credits (5,424,768)Cullen LLR Turquoise: Earned 5,000,000 credits (5,256,909)ESP LLR Turquoise: Earned 5,000,000 credits (5,021,690)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,146,346)PPS LLR Turquoise: Earned 5,000,000 credits (5,082,604)PSP LLR Turquoise: Earned 5,000,000 credits (5,114,046)SoB LLR Turquoise: Earned 5,000,000 credits (5,542,658)SR5 LLR Turquoise: Earned 5,000,000 credits (5,011,433)SGS LLR Turquoise: Earned 5,000,000 credits (5,035,343)TRP LLR Turquoise: Earned 5,000,000 credits (5,149,540)Woodall LLR Turquoise: Earned 5,000,000 credits (5,222,602)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,032,392)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (201,767)Generalized Cullen/Woodall Sieve (suspended) Jade: Earned 10,000,000 credits (10,158,539)PPS Sieve Double Silver: Earned 200,000,000 credits (284,228,796)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (12,293,182)TRP Sieve (suspended) Jade: Earned 10,000,000 credits (10,183,808)AP 26/27 Emerald: Earned 50,000,000 credits (59,744,827)WW Turquoise: Earned 5,000,000 credits (9,228,000)GFN Emerald: Earned 50,000,000 credits (83,615,774)PSA Double Silver: Earned 200,000,000 credits (200,004,037)
Message 73683 - Posted: 22 Feb 2014 | 9:25:45 UTC - in response to Message 73633.

Some questions:

- This is a riddle, right?

- Is 44 the absolute lowest number in this row, or is it possible to extend the row to lower numbers?

- I presume these are decimal numbers?

Profile Crun-chiProject donor
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Joined: 25 Nov 09
Posts: 3059
ID: 50683
Credit: 63,361,547
RAC: 1
Eliminated 1 conjecture "k"Found 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Silver: Earned 100,000 credits (229,492)Cullen LLR Silver: Earned 100,000 credits (110,733)PPS LLR Jade: Earned 10,000,000 credits (11,335,374)PSP LLR Silver: Earned 100,000 credits (104,385)SoB LLR Silver: Earned 100,000 credits (106,117)SR5 LLR Silver: Earned 100,000 credits (139,802)SGS LLR Amethyst: Earned 1,000,000 credits (1,325,207)TRP LLR Gold: Earned 500,000 credits (626,755)Woodall LLR Silver: Earned 100,000 credits (122,944)321 Sieve (suspended) Silver: Earned 100,000 credits (104,900)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,599)Generalized Cullen/Woodall Sieve (suspended) Gold: Earned 500,000 credits (515,556)PPS Sieve Jade: Earned 10,000,000 credits (11,855,975)TRP Sieve (suspended) Silver: Earned 100,000 credits (255,612)AP 26/27 Ruby: Earned 2,000,000 credits (2,583,960)WW Amethyst: Earned 1,000,000 credits (1,088,000)GFN Sapphire: Earned 20,000,000 credits (23,334,026)PSA Turquoise: Earned 5,000,000 credits (7,522,050)
Message 73684 - Posted: 22 Feb 2014 | 10:01:06 UTC - in response to Message 73683.

Some questions:

- This is a riddle, right?

- Is 44 the absolute lowest number in this row, or is it possible to extend the row to lower numbers?

- I presume these are decimal numbers?


Dirk , if anyone solve this on "math" way I presume that person will get all rewards in mathematics they ever exist :)

As Usucapio noticed my numbers are exponents for k 9998*10^n-1

9998 *10^44-1 is prime
9998*10^4604-1 is prime
9998*10^17780-1 is prime.

I try several ways to find next value, but whatever value I found and predict, when tested ,shows that number is not prime. So , I must do it in old fashion way: by llr-ing :) ( and since it is very low nash K ) I will not do it :)

____________
92*10^1439761-1 NEAR-REPDIGIT PRIME :) :) :)
4 * 650^498101-1 CRUS PRIME
314187728^131072+1 GENERALIZED FERMAT
Proud member of team Aggie The Pew. Go Aggie!

Message boards : General discussion : Row of numbers

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