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Message boards : General discussion : Row of numbers

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Crun-chi
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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
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Usucapio Libertatis

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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

Crun-chi
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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 Libertatis

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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

Crun-chi
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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P.S nice table, little outdated but good for reference :)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!

Dirk

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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?

Crun-chi
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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