42697

Properties

Appears in sequences

• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4,2,6]; short d-string notation of pattern = [426].at n=22A078850
• Primes p of Erdos-Selfridge class 4+ with largest prime factor of p+1 not of class 3+.at n=31A129472
• Smaller member of a pair (p,q) of cousin primes such that p and q are in different centuries.at n=38A160440
• Number of ways of having a total of n coins in your two pockets (each of them either a penny, a nickel, a dime, or a quarter), so that the amounts in the pockets are identical.at n=32A323825
• a(n) is the least k>1 such that omega(k) is equal to (omega(n*k + 1) - 1)/n.at n=4A350516
• a(n) = Sum_{k=0..floor(n/2)} (n-2*k)^k.at n=17A352944
• Prime numbersat n=4463