54101

Properties

Appears in sequences

• Consider the Diophantine equation x^3 + y^3 = z^3 - 1 (x < y < z) or 'Fermat near misses'. Arrange solutions by increasing values of z. Sequence gives values of x.at n=33A050788
• Let p(k) = k-th prime; sequence gives primes q of the form q = k*p(k) + 1 for some k.at n=11A096064
• Primes of the form 2n^2+14n+5.at n=27A154577
• A proximate-prime polynomial sequence generated by 2*n^2 - 2*n + 53089.at n=22A155557
• Prime numbers ending in the prime number 101.at n=13A167626
• Primes of the form 100p + 1, where p is prime.at n=18A180469
• a(n) = 840*n^2 - 23100*n + 86861.at n=26A216257
• Artiads (A001583) congruent to 1 mod 50 and having 2 as a quintic residue.at n=13A270799
• Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 291", based on the 5-celled von Neumann neighborhood.at n=7A271130
• Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 619", based on the 5-celled von Neumann neighborhood.at n=7A273251
• Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 566", based on the 5-celled von Neumann neighborhood.at n=15A283063
• a(n) is the number of well-formed formulas (wffs) of zeroth-order logic containing n characters (see comments).at n=12A344900
• Prime numbersat n=5509