RSA numbers, big odd semiprimes.

[Antti Karttunen]

Cheers all,

I wonder whether it would be a good idea to add all the listed RSA-numbers to the OEIS?

See https://en.wikipedia.org/wiki/RSA_numbers

Even though they are not "pure mathematics" because an element of historical contingency is involved, I think it would be good to have them available in easily machine-digestible format (that is, as a b-file), on the authoritative site for the collections of integers, that is, the OEIS.

I think they are all here, and need just to be sorted into ascending order:

https://www.ontko.com/pub/rayo/primes/rsa_fact.html

The first two or three terms would even fit into the data section:

1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139, 35794234179725868774991807832568455403003778024228226193532908190484670252364677411513516111204504060317568667, 227010481295437363334259960947493668895875336466084780038173258247009162675779735389791151574049166747880487470296548479

As no term has more than 999 digits, they all fit into a b-file. Also, the entry would be good for keeping up with the latest information about their factorization and other statistics. And if any new ones will ever be issued anymore, then they are issued in the ascending order, right?

What do you think?

Best regards,

Antti

[Antti Karttunen]

On Sun, Dec 28, 2025 at 7:40 PM Antti Karttunen <antti.k...@gmail.com> wrote:

Cheers all,

I wonder whether it would be a good idea to add all the listed RSA-numbers to the OEIS?

Like this: https://oeis.org/draft/A391940

Then the smaller and greater prime factors sequences A391941 and A391942 can have "more" and "hard" keywords (and also fini,full).

Best,

Antti

[Alex Violette]

Hey Antti,
I think including the RSA numbers in the OEIS can be quite useful given how well known they are.

Regards,
Alex Violette

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