101107

Properties

Appears in sequences

• a(n+6) = -a(n+5) + a(n+4) + 3a(n+3) + a(n+2) - a(n+1) - a(n). a(n) = sign(n) if abs(n)<=3.at n=41A001945
• Initial members of prime 5-tuples (p, p+4, p+6, p+10, p+12).at n=11A022007
• Primes that are concatenations of k with k + 6.at n=13A032629
• Denominators of continued fraction convergents to sqrt(320).at n=8A041605
• Primes at which difference pattern X4242Y (X and Y >= 6) occurs in A001223.at n=6A052168
• Primes p such that three (the maximum number) primes occur between p and p+12.at n=21A086140
• Concatenations of pairs of primes that differ by 6.at n=16A103206
• Smallest prime obtained as a concatenation of prime(n) and prime(m) with m > n.at n=25A113893
• Primes n that are concatenation of two 3-digit primes p<q.at n=0A168529
• Primes in A182040.at n=15A182092
• Primes having only {0, 1, 7} as digits.at n=44A199327
• Initial primes in prime 5-tuples (p, p+4, p+6, p+10, p+12) preceding the maximal gaps in A201062.at n=6A201063
• Primes in A001945, apart from initializing 6 terms.at n=11A204138
• Primes that are the concatenation of prime(n) and prime(n+2).at n=7A253245
• Primes that are the concatenation of two 3-digit primes.at n=0A255976
• Primes p whose binary representation p_2 is the decimal representation of a prime q; and also the sum of the decimal digits of p equals the sum of the digits of p_2.at n=7A281299
• a(n) is the least prime that is the concatenation of two n-digit primes, or 0 if there are none.at n=2A340487
• a(n) is the least prime that is the concatenation of two n-digit primes, and such that the concatenation of the same primes in the other order is also prime or 0 if no such prime exists.at n=2A340539
• Smallest prime congruent to 1 (mod prime(n)) which is the norm of some principal ideal in the ring of prime(n)-th cyclotomic integers.at n=11A356467
• Prime numbersat n=9681