Factors of Repunits
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Theorem
The prime factors of the first few repunits are as follows:
$R_n$ Factors of $n$ Also see $2$ $11$ $3$ $3 \times 37$ $4$ $11 \times 101$ $5$ $41 \times 271$ $6$ $3 \times 7 \times 11 \times 13 \times 37$ $7$ $239 \times 4649$ $8$ $11 \times 73 \times 101 \times 137$ $9$ $3^2 \times 37 \times 333 \, 667$ $10$ $11 \times 41 \times 271 \times 9091$ $11$ $21 \, 649 \times 513 \, 239$ $12$ $3 \times 7 \times 11 \times 13 \times 37 \times 101 \times 9901$ $13$ $53 \times 79 \times 265 \, 371 \, 653$
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): Tables: $7$ The Factors of the Repunits from $11$ to $R40$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): Tables: $7$ The Factors of the Repunits from $11$ to $R40$