- 1. 10^999 + 7 is prime

(Is this in dispute, see msg of Milton Brown, 1/9/01, Titanix)

2. OpenPFGW says:

Primality testing 10^999+7 [N+1, Brillhart-Lehmer-Selfridge]

Running N+1 test using discriminant 5, base 1+sqrt(5)

Calling Brillhart-Lehmer-Selfridge with factored part 1.30%

10^999+7 is Lucas PRP! (12.580000 seconds)

Are these contradictory? Or is someone misinterpreting the latter?

Milton L. Brown

miltbrown@... - PRP does *not* mean prime. It means "Probable Prime". There is a huge

difference! Probable primes are not primes, they are just not definitely

composite (though they might be). For this reason you cannot submit them until

they are proved to be definitely prime, rather than just probably prime.

> -----Original Message-----

__________________________________________________

> From: Milton Brown [mailto:miltbrown@...]

> Sent: 02 February 2001 15:53

> To: primenumbers@yahoogroups.com; miltbrown@...

> Subject: [PrimeNumbers] Missing Something?

>

>

> 1. 10^999 + 7 is prime

> (Is this in dispute, see msg of Milton Brown, 1/9/01, Titanix)

>

> 2. OpenPFGW says:

>

> Primality testing 10^999+7 [N+1, Brillhart-Lehmer-Selfridge]

> Running N+1 test using discriminant 5, base 1+sqrt(5)

> Calling Brillhart-Lehmer-Selfridge with factored part 1.30%

> 10^999+7 is Lucas PRP! (12.580000 seconds)

>

> Are these contradictory? Or is someone misinterpreting the latter?

>

> Milton L. Brown

> miltbrown@...

>

>

>

>

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On Fri, 02 February 2001, Milton Brown wrote:

> 1. 10^999 + 7 is prime

> (Is this in dispute, see msg of Milton Brown, 1/9/01, Titanix)

http://www.utm.edu/research/primes/lists/SmallestTitanics.html

<<<

This list was compiled by David Broadhurst.

1.The smallest pair of titanic primes is

10^999+7

10^999+663

as proven by Preda Mihailescu and Giovanni La Barbera.

>>>

_Proven_ using Titanix. The certificate was certainly available for verification at the time.

No, it is not in despute.

> 2. OpenPFGW says:

>

> Primality testing 10^999+7 [N+1, Brillhart-Lehmer-Selfridge]

> Running N+1 test using discriminant 5, base 1+sqrt(5)

> Calling Brillhart-Lehmer-Selfridge with factored part 1.30%

> 10^999+7 is Lucas PRP! (12.580000 seconds)

>

> Are these contradictory? Or is someone misinterpreting the latter?

OpenPFGW cannot prove a number with only 1.30% factorisation.

Period.

It can perform a probable prime test, but that's not a proof.

Now aht have either of those two proofs (proof of rimality, and proof of probable-primality) got to do with this new number?

The 20000 digit number probably is provable, but I reckon it would take at least 25 years, and a lot of money, as it requires you to hire some programmers to extend the capabilities of the only software that could prove it. The 25 years figure comes from blind belief that Moore's law with continue at the same rate, and that we'll have machines 100000 times as quick by then.

The ball's in your court now. I'm prepared to hear your side off-list if you don't wish to continue on-list. The list is for discussions about primes, not ethics.

Phil

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