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isaacg
isaacg
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Update: I extended my calculation to $10^9$. I didn't find any longer runs than before, but I found another run which matched my record:

Another length 7 run: 16161608-16161614
16161608 = 53 * 3244 * 94
16161609 = 57 * 283537
16161610 = 5 * 3232322
16161611 = 5389 * 2999
16161612 = 4 * 4040403
16161613 = 29 * 557297
16161614 = 2 * 8080807

Going much further will require something smarter than a brute force approach.

Repository: https://github.com/isaacg1/melissa/blob/main/README.mdhttps://github.com/isaacg1/melissa/

I calculated the first runs of Melissa's Numbers of each length, for numbers up $10^7$. The longest run I found was

Length 7:
4
8-9
8-10
258-261
666-670
101176-101181
6777666-6777672

For the longest of these runs, we have the following factorizations:

6777666 = 14 * 484119
6777667 = 13 * 521359
6777668 = 2122 * 3194
6777669 = 123 * 55103
6777670 = 2 * 3388835
6777671 = 2099 * 3229
6777672 = 44 * 154038

Update: I extended my calculation to $10^9$. I didn't find any longer runs than before, but I found another run which matched my record:

Another length 7 run: 16161608-16161614
16161608 = 53 * 3244 * 94
16161609 = 57 * 283537
16161610 = 5 * 3232322
16161611 = 5389 * 2999
16161612 = 4 * 4040403
16161613 = 29 * 557297
16161614 = 2 * 8080807

Going much further will require something smarter than a brute force approach.

Repository: https://github.com/isaacg1/melissa/blob/main/README.md

I calculated the first runs of Melissa's Numbers of each length, for numbers up $10^7$. The longest run I found was

Length 7:
4
8-9
8-10
258-261
666-670
101176-101181
6777666-6777672

For the longest of these runs, we have the following factorizations:

6777666 = 14 * 484119
6777667 = 13 * 521359
6777668 = 2122 * 3194
6777669 = 123 * 55103
6777670 = 2 * 3388835
6777671 = 2099 * 3229
6777672 = 44 * 154038

Update: I extended my calculation to $10^9$. I didn't find any longer runs than before, but I found another run which matched my record:

Another length 7 run: 16161608-16161614
16161608 = 53 * 3244 * 94
16161609 = 57 * 283537
16161610 = 5 * 3232322
16161611 = 5389 * 2999
16161612 = 4 * 4040403
16161613 = 29 * 557297
16161614 = 2 * 8080807

Going much further will require something smarter than a brute force approach.

Repository: https://github.com/isaacg1/melissa/

I calculated the first runs of Melissa's Numbers of each length, for numbers up $10^7$. The longest run I found was

Length 7:
4
8-9
8-10
258-261
666-670
101176-101181
6777666-6777672

For the longest of these runs, we have the following factorizations:

6777666 = 14 * 484119
6777667 = 13 * 521359
6777668 = 2122 * 3194
6777669 = 123 * 55103
6777670 = 2 * 3388835
6777671 = 2099 * 3229
6777672 = 44 * 154038

added 70 characters in body
Source Link
isaacg
isaacg
  • 7.2k
  • 2
  • 19
  • 53

Update: I extended my calculation to $10^9$. I didn't find any longer runs than before, but I found another run which matched my record:

Another length 7 run: 16161608-16161614
16161608 = 53 * 3244 * 94
16161609 = 57 * 283537
16161610 = 5 * 3232322
16161611 = 5389 * 2999
16161612 = 4 * 4040403
16161613 = 29 * 557297
16161614 = 2 * 8080807

Going much further will require something smarter than a brute force approach.

Repository: https://github.com/isaacg1/melissa/blob/main/README.md

I calculated the first runs of Melissa's Numbers of each length, for numbers up $10^7$. The longest run I found was

Length 7:
4
8-9
8-10
258-261
666-670
101176-101181
6777666-6777672

For the longest of these runs, we have the following factorizations:

6777666 = 14 * 484119
6777667 = 13 * 521359
6777668 = 2122 * 3194
6777669 = 123 * 55103
6777670 = 2 * 3388835
6777671 = 2099 * 3229
6777672 = 44 * 154038

Update: I extended my calculation to $10^9$. I didn't find any longer runs than before, but I found another run which matched my record:

Another length 7 run: 16161608-16161614
16161608 = 53 * 3244 * 94
16161609 = 57 * 283537
16161610 = 5 * 3232322
16161611 = 5389 * 2999
16161612 = 4 * 4040403
16161613 = 29 * 557297
16161614 = 2 * 8080807

Going much further will require something smarter than a brute force approach.

I calculated the first runs of Melissa's Numbers of each length, for numbers up $10^7$. The longest run I found was

Length 7:
4
8-9
8-10
258-261
666-670
101176-101181
6777666-6777672

For the longest of these runs, we have the following factorizations:

6777666 = 14 * 484119
6777667 = 13 * 521359
6777668 = 2122 * 3194
6777669 = 123 * 55103
6777670 = 2 * 3388835
6777671 = 2099 * 3229
6777672 = 44 * 154038

Update: I extended my calculation to $10^9$. I didn't find any longer runs than before, but I found another run which matched my record:

Another length 7 run: 16161608-16161614
16161608 = 53 * 3244 * 94
16161609 = 57 * 283537
16161610 = 5 * 3232322
16161611 = 5389 * 2999
16161612 = 4 * 4040403
16161613 = 29 * 557297
16161614 = 2 * 8080807

Going much further will require something smarter than a brute force approach.

Repository: https://github.com/isaacg1/melissa/blob/main/README.md

I calculated the first runs of Melissa's Numbers of each length, for numbers up $10^7$. The longest run I found was

Length 7:
4
8-9
8-10
258-261
666-670
101176-101181
6777666-6777672

For the longest of these runs, we have the following factorizations:

6777666 = 14 * 484119
6777667 = 13 * 521359
6777668 = 2122 * 3194
6777669 = 123 * 55103
6777670 = 2 * 3388835
6777671 = 2099 * 3229
6777672 = 44 * 154038

added 507 characters in body
Source Link
isaacg
isaacg
  • 7.2k
  • 2
  • 19
  • 53

Update: I extended my calculation to $10^9$. I didn't find any longer runs than before, but I found another run which matched my record:

Another length 7 run: 16161608-16161614
16161608 = 53 * 3244 * 94
16161609 = 57 * 283537
16161610 = 5 * 3232322
16161611 = 5389 * 2999
16161612 = 4 * 4040403
16161613 = 29 * 557297
16161614 = 2 * 8080807

Going much further will require something smarter than a brute force approach.

I calculated the first runs of Melissa's Numbers of each length, for numbers up $10^7$. The longest run I found was

Length 7:
4
8-9
8-10
258-261
666-670
101176-101181
6777666-6777672

For the longest of these runs, we have the following factorizations:

6777666 = 14 * 484119
6777667 = 13 * 521359
6777668 = 2122 * 3194
6777669 = 123 * 55103
6777670 = 2 * 3388835
6777671 = 2099 * 3229
6777672 = 44 * 154038

I calculated the first runs of Melissa's Numbers of each length, for numbers up $10^7$. The longest run I found was

Length 7:
4
8-9
8-10
258-261
666-670
101176-101181
6777666-6777672

For the longest of these runs, we have the following factorizations:

6777666 = 14 * 484119
6777667 = 13 * 521359
6777668 = 2122 * 3194
6777669 = 123 * 55103
6777670 = 2 * 3388835
6777671 = 2099 * 3229
6777672 = 44 * 154038

Update: I extended my calculation to $10^9$. I didn't find any longer runs than before, but I found another run which matched my record:

Another length 7 run: 16161608-16161614
16161608 = 53 * 3244 * 94
16161609 = 57 * 283537
16161610 = 5 * 3232322
16161611 = 5389 * 2999
16161612 = 4 * 4040403
16161613 = 29 * 557297
16161614 = 2 * 8080807

Going much further will require something smarter than a brute force approach.

I calculated the first runs of Melissa's Numbers of each length, for numbers up $10^7$. The longest run I found was

Length 7:
4
8-9
8-10
258-261
666-670
101176-101181
6777666-6777672

For the longest of these runs, we have the following factorizations:

6777666 = 14 * 484119
6777667 = 13 * 521359
6777668 = 2122 * 3194
6777669 = 123 * 55103
6777670 = 2 * 3388835
6777671 = 2099 * 3229
6777672 = 44 * 154038

Source Link
isaacg
isaacg
  • 7.2k
  • 2
  • 19
  • 53