31249

Properties

Appears in sequences

• Numbers whose least quadratic nonresidue (A020649) is 17.at n=24A025026
• Trimorphic numbers: n^3 ends with n. Also m-morphic numbers for all m > 5 such that m-1 is not divisible by 10 and m == 3 (mod 4).at n=38A033819
• Smallest k for which k, 2k, ... nk all contain the digit 4.at n=15A039935
• Numerators of continued fraction convergents to sqrt(434).at n=7A041826
• a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 1.at n=17A049900
• Trimorphic but not bimorphic nor automorphic.at n=29A056032
• Primes with 23 as smallest positive primitive root.at n=10A061335
• Primes p such that sigma(p-1)+sigma(p+1) is prime.at n=11A067464
• Numbers n such that all the divisors of n appear as substrings in n^3.at n=11A074493
• Primes of the form 2^r*5^s - 1.at n=16A077313
• a(n) = 2*5^n-1.at n=6A081655
• Primes p such that p-1 and p+1 are both divisible by fourth powers.at n=19A086709
• n is prime and digits of n^3 include digits of n as substring.at n=8A115739
• Primes of the form 2*5^k - 1.at n=1A120376
• Primes with record large values of the second smallest positive primitive root.at n=15A124111
• Prime numbers p such that p +- ((p-1)/6) are primes.at n=33A137724
• Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 10001-11111 pattern in any orientation.at n=19A147087
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (-1, 1, -1), (0, 1, 0), (1, 0, 0)}.at n=9A149926
• Primes of the form 648*k^2 - 72*k + 1.at n=1A154511
• a(n) = 648*n^2 - 72*n + 1.at n=6A154514