25037

Properties

Appears in sequences

• Number of ordered quadruples of integers from [ 1..n ] with no global factor.at n=26A015634
• a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = (1, p(1), p(2), ...).at n=31A025099
• Prime(n) and prime(n+2) use the same digits.at n=32A069794
• Record-setting differences between adjacent elements of the Mian-Chowla sequence variant A058335.at n=44A080931
• Smallest prime of the form k*prime(n+1)+prime(n) = j*prime(n+2)+prime(n+1) for free integer multipliers k and j.at n=19A129918
• Prime numbers p for which the quintic polynomial x^5 - x - 1 modulo p completely factors into linear polynomials.at n=18A135844
• Prime numbers p not of the form 10*k+1 for which the quintic polynomial x^5-x-1 modulus p is factorizable into five binomials.at n=14A135845
• Primes p, with index k, such that p-k and p+k are both prime.at n=32A143794
• Primes p such that continued fraction of (1 + sqrt(p))/2 has period 7: primes in A146332.at n=36A146352
• Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 1100-0111-0010 pattern in any orientation.at n=9A146460
• Numbers k with maximal exponent in prime factorization equal to 1, such that k+1 has maximal exponent 2, k+2 has maximal exponent 3, and k+3 has maximal exponent 4.at n=5A176913
• Numbers k such that 2^(k-1) == 1 + b*k (mod k^2), where b divides k - 2^p for some integer p >= 0 and 2^p <= b.at n=36A186884
• Primes remaining primes under map 3<=>5 (interchange of decimal digits 3 and 5).at n=37A198047
• 2*n^3 - 313*n^2 + 6823*n - 13633.at n=15A218456
• Expansion of 1/(1 - Sum_{k>=1} x^prime(prime(k))).at n=55A281422
• Triangle read by rows: T(n,k) is the number of unlabeled connected graphs with n nodes and bipartite dimension (or biclique covering number) k, 0 <= k < n.at n=39A355335
• a(n) is the least prime p such that (2^p - 2)/p == n (mod p), or -1 if there is no such prime p.at n=18A377655
• Expansion of e.g.f. (1/x) * Series_Reversion( x * (exp(-x) - 2*x) ).at n=4A379659
• Prime numbersat n=2766