Pretentious elimination for k=6707; make that 67607

[DukeBG]

Originally Posted by axn

If it is based on the "trial factoring" thing, then no. If an actual Proth test has been run and declared the number as prime, then and only then should you do your announcements.

EDIT:- BTW, these numbers are being tested by PrimeGrid. Not sure what ranges they have covered, but even if they haven't tested these numbers, they have been sieved really deep.

PSP stats on PG. You can notice that neither 67607, nor 21181 is there. Because they're in SOB. SOB is currently in the last part of the double check. In the ranges, where there are more numbers with no residue than with a residue from the old project (details in the latest post here). But the ranges of numbers from the OP of this topic have been long passed. Those numbers are proven and double-checked to be composite.

[MathDoggy]

Originally Posted by VBCurtis

You are credited with not having any idea what a primality test is, and also not understanding what trial division does to show a candidate is prime (hint: nothing).

Passing the trial-division phase makes your candidates prime, say, 1 out of 100000 times rather than 1 out of 500000.

You have, in effect, claimed that 1925 is likely prime because you tried dividing by 2 and 3 and didn't find a factor.

Ok then I will keep my mouth shut

[AG5BPilot]

Originally Posted by MathDoggy

In March of 2019 at 5:41 PM I was doing a check if any prime numbers appeared in the following formula: 6707*2 raised to the n +1 and I think I have found a prime number for the value of n= 11314467.

This came to my attention this morning when someone on PrimeGrid's forums noticed that this number was recently submitted to T5K as prime.

For the record, this number was proven composite by the Seventeen or Bust project years ago by sieving. It has a known factor:

57908405921389 | 67607*2^11314467+1

Carry on...

[AG5BPilot]

Originally Posted by MathDoggy

This has nothing to do with your comment but I just wanted to announce that there is another posible elimination for k=21181 21181*2^11314172 +1

This also is proven composite with a known factor:

2173570481242907 | 21181*2^11314172+1

[rudy235]

That number was placed yesterday in the Chris Caldwell database. I emailed the editor and it has since been removed.

Description:    67607 · 211314467
Verification status (*):        InProcess
Official Comment:       
Proof-code(s): (*):     L4936 : Castillo1, LLR
Decimal Digits: 3405999   (log10 is 3405998.78194192)
Rank (*):       27 (digit rank is 2)
Entrance Rank (*):      27
Currently on list? (*): short
Submitted:      4/17/2019 21:08:14 CDT
Last modified:  4/17/2019 21:20:11 CDT
Database id:    126394
Status Flags:   Verify, Lint, TrialDiv
Score (*):      50.3899 (normalized score 604.1935)