PRP Records

(833^17117+1)/834



This is the smallest repunit (probable) prime with at least 3 1s in negative base -833.

Currently there are 54 negative bases -1024<=b<=-2 without known repunit (probable) primes with at least 3 1s (currently at p=15101): {97, 103, 113, 186, 187, 220, 304, 306, 309, 335, 414, 416, 428, 433, 445, 459, 486, 498, 539, 550, 557, 587, 592, 597, 598, 617, 624, 637, 659, 665, 671, 677, 696, 717, 726, 730, 740, 754, 766, 790, 851, 873, 890, 914, 923, 929, 943, 944, 965, 984, 985, 996, 1004, 1005}, and these negative bases -1024<=b<=-2 have no possible repunit (probable) primes with at least 3 1s because of algebraic factors: {8, 27, 32, 64, 125, 243, 324, 512, 1000, 1024}

To be completed...




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