Generalized Repunit

A Generalized repunit for any base b ≥ 2 is defined as

[math]\displaystyle{ (b^n-1)\over (b-1) }[/math].

Table

TBD

External links

• Extensive list by R.Fischer, 2024
• Collection table, N.Luhn, 2024
• Search by H.Lifchitz, last edit 2008
• Probable Primes Top 10000
• Generalized Repunit Search
• Blog! Generalized Repunit PRP's
• Efficient Generalized Repunit sieving/factoring
• List of Gen.Repunits
• Prime Pages: Definition, records and references

Number classes

General numbers

Integer Natural Even Odd Rational Irrational Real Prime Probable prime

Special numbers

Mersenne 2n-1 Fermat 22n+1 Proth k•2n+1 Riesel k•2n-1 Woodall n•2n-1 Cullen n•2n+1 Double Mersenne 22p-1-1 Perfect 2n-1(2n-1) Leyland xy ± yx Gen.Repunit (b^n-1)/(b-1)

Prime numbers

Mersenne Proth Riesel Williams (b±1)bn±1 Carol/Kynea (bn±1)2-2 Multifactorial n!j±1