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Search: Posts Made By: Alfred
Forum: Factoring 2022-06-14, 13:56
Replies: 42
Views: 12,715
Posted By Alfred
Brilliant 201-digit number (10^201-c)

"Releasing" 10^201-c.
Tested any 1 <= c <= 40000.
Forum: Aliquot Sequences 2022-05-02, 07:22
Replies: 1,041
Views: 61,220
Posted By Alfred
done 15^125

done 15^125
Forum: Aliquot Sequences 2022-05-01, 05:53
Replies: 1,041
Views: 61,220
Posted By Alfred
take 15^125

take 15^125
Forum: Aliquot Sequences 2022-04-29, 15:11
Replies: 1,041
Views: 61,220
Posted By Alfred
take 14^130 done 14^130

take 14^130
done 14^130
Forum: Aliquot Sequences 2022-04-28, 18:02
Replies: 1,041
Views: 61,220
Posted By Alfred
done 19116^34

done 19116^34
Forum: Aliquot Sequences 2022-04-23, 11:23
Replies: 1,041
Views: 61,220
Posted By Alfred
done 720^50

done 720^50
Forum: Aliquot Sequences 2022-04-23, 07:56
Replies: 1,041
Views: 61,220
Posted By Alfred
take 720^50

take 720^50
Forum: Aliquot Sequences 2022-04-16, 15:45
Replies: 1,041
Views: 61,220
Posted By Alfred
done 82^74

done 82^74
Forum: Aliquot Sequences 2022-04-15, 08:17
Replies: 1,041
Views: 61,220
Posted By Alfred
done 82^66 taking 82^74

done 82^66
taking 82^74
Forum: Aliquot Sequences 2022-04-14, 05:37
Replies: 1,041
Views: 61,220
Posted By Alfred
done 82^72 82^70 82^68 taking 82^66

done 82^72 82^70 82^68
taking 82^66
Forum: And now for something completely different 2021-09-27, 05:55
Replies: 10
Views: 1,858
Posted By Alfred
I informed Makoto Kamada. Thank you.

I informed Makoto Kamada.



Thank you.
Forum: Puzzles 2021-08-11, 18:01
Replies: 8
Views: 2,820
Posted By Alfred
Is it possible to "compute" p2*p3-1 as smallest...

Is it possible to "compute" p2*p3-1 as smallest and n-(p2*p3-1) as largest non-trivial root?
Forum: And now for something completely different 2021-06-08, 11:23
Replies: 10
Views: 1,858
Posted By Alfred
Any other in the specified range is meant.

Any other in the specified range is meant.
Forum: And now for something completely different 2021-06-08, 07:20
Replies: 10
Views: 1,858
Posted By Alfred
10^n+7: four PRPs

I've found four probable primes in the range 200001 <= n <= 500000:

n = 221628, 350071, 371696, 487291.

IMO any other 10^n+7 is composite.

The attached file should "prove" this assertion.
Forum: Factoring 2021-04-15, 18:00
Replies: 42
Views: 12,715
Posted By Alfred
Largest 10^n - c with exactly five equally sized prime factors, part 3

The solutions for n = 46, 47, 48, 49 are as follows.

n c p q r s t
======================================================================
49 ...
Forum: Factoring 2021-03-24, 09:13
Replies: 42
Views: 12,715
Posted By Alfred
Largest 10^n - c with exactly five equally sized prime factors, part 2

The solutions for n = 42, 43, 44 are as follows.


n c p q r s t
======================================================================
44...
Forum: Factoring 2021-02-13, 09:34
Replies: 42
Views: 12,715
Posted By Alfred
The Big Four

I've found the largest four 67-digit numbers with exactly four equally sized prime factors.

In 10^67 - c representation:


c p q r ...
Forum: And now for something completely different 2021-02-03, 20:51
Replies: 202
Views: 44,459
Posted By Alfred
Thank you - for your congrats and your correct...

Thank you - for your congrats and your correct attribution.
Forum: Factoring 2021-01-22, 09:28
Replies: 42
Views: 12,715
Posted By Alfred
Largest 10^n - c with exactly five equally sized prime factors

The solutions for some smaller n are as follows.


n c p q r s t
======================================================================
41 ...
Forum: Factoring 2020-12-26, 11:27
Replies: 42
Views: 12,715
Posted By Alfred
But it does not. The file contains 282 lines,...

But it does not.
The file contains 282 lines, where the smallest primefactor has 31 digits.
For these numbers the attached file shows that the remaining cofactor is a 61-digit prime.

Now the...
Forum: Factoring 2020-12-24, 14:36
Replies: 42
Views: 12,715
Posted By Alfred
10^91-1250741 is 3-brilliant

10^91 - 1250741
1130907742078987214643014936029
2064984395278432435681546498733
4282092540978287980470405630787

There is no larger 91-digit number which splits into three equally sized prime...
Forum: Factoring 2020-12-21, 08:26
Replies: 42
Views: 12,715
Posted By Alfred
I'd like to take 10^201 - c.

I'd like to take 10^201 - c.
Forum: Factoring 2020-12-03, 11:50
Replies: 42
Views: 12,715
Posted By Alfred
What is the worthy cause of this outstanding...

What is the worthy cause of this outstanding observation?
Forum: Factoring 2020-11-27, 09:16
Replies: 42
Views: 12,715
Posted By Alfred
10^157 - 2049 is brilliant

10^157 - 2049 is the largest 157-digit number with two 79-digit prime factors.


10^157 - 2049
1446814727739974723827555617027876206977909532017942734175294759323847644834853...
Forum: Factoring 2020-11-21, 16:06
Replies: 531
Views: 128,180
Posted By Alfred
p54 with ecm and B1 = 3e6

Caught this p54 while searching for a brilliant 199-digit number.

Input number is...
Showing results 1 to 25 of 97

 
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