Primefree Shifted Binary Linear Recurrence Sequences¶
Jones, L., & Somer, L. (2019). Primefree Shifted Binary Linear Recurrence Sequences. The Fibonacci Quarterly, 51-67.
Cited by¶
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Domain-specific¶
- Covering Set
- … on \(k\). Selfridge's classical \(k=78557\) certificate uses the seven primes \(\{3,5,7,13,19,37,73\}\); the exact residue assignments are reproduced below. The same architecture also appears in primefree linear-recurrence constructions, where periodic zero positions modulo selected primes cover every term index.
This sourceVerified 2026-08-26. Primary source for recurrence families whose finite modular cycles and covering systems certify primefree shifted sequences, supporting the abstraction's recurrence habitat beyond \(k2^n\pm1\).
- … on \(k\). Selfridge's classical \(k=78557\) certificate uses the seven primes \(\{3,5,7,13,19,37,73\}\); the exact residue assignments are reproduced below. The same architecture also appears in primefree linear-recurrence constructions, where periodic zero positions modulo selected primes cover every term index.
Verification¶
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