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 Showing results 1 to 25 of 87 Search took 0.02 seconds. Search: Posts Made By: Alfred
 2021-09-27, 05:55 Replies: 10 Views: 1,030 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: 2,001 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?
 2021-06-08, 11:23 Replies: 10 Views: 1,030 Posted By Alfred Any other in the specified range is meant. Any other in the specified range is meant.
 2021-06-08, 07:20 Replies: 10 Views: 1,030 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: 38 Views: 9,653 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: 38 Views: 9,653 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: 38 Views: 9,653 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: Factoring 2021-01-22, 09:28 Replies: 38 Views: 9,653 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: 38 Views: 9,653 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: 38 Views: 9,653 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: 38 Views: 9,653 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: 38 Views: 9,653 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: 38 Views: 9,653 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: 526 Views: 104,306 Posted By Alfred p54 with ecm and B1 = 3e6 Caught this p54 while searching for a brilliant 199-digit number. Input number is...
 Forum: Factoring 2020-11-21, 15:56 Replies: 38 Views: 9,653 Posted By Alfred Largest c199, splitting as p100 * q100 After a longer search, starting in September (!), I found this factorization: 10^199 - 5399 = 16656894422236107849246117001467083363915297020262\...
 Forum: Factoring 2020-11-20, 07:29 Replies: 38 Views: 9,653 Posted By Alfred 10^199-c I'd like to continue with these numbers. It will take a while.
 Forum: Factoring 2020-11-01, 18:42 Replies: 49 Views: 25,159 Posted By Alfred I think it is a good idea to share these... I think it is a good idea to share these informations. Thank you. So anyone who is interested in can doublecheck the correctness of the statements easily.
 Forum: Factoring 2020-10-15, 14:46 Replies: 38 Views: 9,653 Posted By Alfred Largest 10^86 - c 3-Brilliant Number (p29 * p29 * p29) 10^86 - 2007389 is the largest 86-digit number with three 29-digit prime factors. The appended file proves this. Any line (except the last one) has exactly two entries. The first shows c. ...
 Forum: Factoring 2020-10-14, 13:59 Replies: 49 Views: 25,159 Posted By Alfred Dr Sardonicus, thank you for your... Dr Sardonicus, thank you for your explanation.
 Forum: Factoring 2020-10-14, 08:54 Replies: 49 Views: 25,159 Posted By Alfred Dr Sardonicus, does this statement apply to... Dr Sardonicus, does this statement apply to largest 2-brilliant numbers in base 10? If yes, please give an example.
 Forum: Factoring 2020-10-06, 20:32 Replies: 38 Views: 9,653 Posted By Alfred Largest 10^153-c Brilliant Number (p77*p77) No 10^153-c with c>0 smaller than 24783 splits as p77*p77. The attached file shows the smallest prime factor for any of these c's - or it indicates that 10^153-c is prime. ...
 Forum: Factoring 2020-09-30, 06:18 Replies: 38 Views: 9,653 Posted By Alfred Yes, of course. Thank you for your information.... Yes, of course. Thank you for your information. I'd like to take the numbers 10^153-c.
 Forum: Factoring 2020-09-29, 07:01 Replies: 38 Views: 9,653 Posted By Alfred Largest 10^151-c Brilliant Number (p76*p76) No 10^151-c with c>0 smaller than 13731 splits as p76*p76. The attached file shows one factor (prime or composite but with less digits) for any of these c's - or it indicates that 10^151-c is...
 Forum: Factoring 2020-09-26, 07:55 Replies: 38 Views: 9,653 Posted By Alfred Largest 10^147-c Brilliant Number (p74*p74) No 10^147-c with c>0 smaller than 28239 splits as p74*p74. The attached file shows one factor (prime or composite but with less digits) for any of these c's - or it indicates that 10^147-c is...
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