42299

Properties

Appears in sequences

• Initial prime in first sequence of n primes congruent to 3 modulo 8.at n=3A057632
• Safe primes (A005385) (p and (p-1)/2 are primes) such that 12*p+1 is also prime.at n=70A075707
• Balanced primes of order nine.at n=26A096701
• Numbers k such that 4*10^k + 6*R_k - 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=30A099005
• Primes p such that continued fraction of (1 + sqrt(p))/2 has period 6: primes in A146331.at n=33A146351
• Primes of the form 9n^2-8n+2.at n=13A154253
• Primes whose reversal + 1 is a square.at n=10A167217
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 249", based on the 5-celled von Neumann neighborhood.at n=37A271014
• Prime p1 of consecutive primes p1, p2, where p2 - p1 = 8, and p1, p2 are in different centuries.at n=29A287049
• Numbers k such that for some r we have phi(1) + ... + phi(k - 1) = phi(k + 1) + ... + phi(k + r), where phi(i) = A000010(i).at n=16A358936
• Primes having only {2, 4, 9} as digits.at n=15A385785
• Primes having only {0, 2, 4, 9} as digits.at n=40A386048
• Primes having only {2, 4, 5, 9} as digits.at n=29A386154
• Primes having only {2, 4, 6, 9} as digits.at n=40A386156
• Primes having only {2, 4, 8, 9} as digits.at n=32A386159
• Prime numbersat n=4422