A384933 Consecutive states of the linear congruential pseudo-random number generator (1589013525*s + 1) mod 2^32 when started at s=1.

1, 1589013526, 2788435407, 2237951484, 147543469, 4023452466, 2064276251, 628809016, 3191326105, 3400909198, 226805927, 423946676, 1664555973, 2001363754, 382458483, 1721986928, 3087754289, 537519110, 491142271, 2895284844, 187886301, 2237693986, 992271051

Offset: 1

Author

Sean A. Irvine, Jun 12 2025

Keywords

• nonn
• easy

Comments

Periodic with period 2^32.

Links

• Sean A. Irvine, Table of n, a(n) for n = 1..10000
• B. D. Ripley, Computer Generation of Random Variables: A Tutorial, International Statistical Review, 51 (1983), 301-309.
• Index entries for sequences related to pseudo-random numbers.

Crossrefs

Cf. A096551-A096561 (other pseudo-random number generators).

Programs

Mathematica

NestList[Mod[1589013525*# + 1, 2^32] &, 1, 30] (* Paolo Xausa, Jun 13 2025 *)

Formula

a(n) = (1589013525*a(n-1) + 1) mod 2^32.