37561

Properties

Appears in sequences

• Primes equal to the sum of the first k primes for some k.at n=13A013918
• Primes that remain prime through 3 iterations of function f(x) = 8x + 3.at n=11A023292
• 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=[6, 4,2]; short d-string notation of pattern = [642].at n=33A078855
• Primes p such that the differences between the 5 consecutive primes starting with p are (6,4,2,6).at n=5A078962
• Records in A111267.at n=24A111268
• Sum of primes < n^2.at n=26A139562
• Primes that start a run of at least seven consecutive primes, where between successive primes exactly one digit changes and the resulting digits may be permuted.at n=31A157717
• Primes that become squares when prefixed with a 3.at n=6A167736
• Lesser of two consecutive primes, p < q, such that p*q + p - q and p*q - p + q are also consecutive primes.at n=19A225726
• Numbers of the form (prime(k) + Fibonacci(k))/2.at n=15A261543
• (Number of 4 X 4 pandiagonal magic squares with distinct positive entries less than n)/384.at n=34A317252
• Squarefree numbers k for which Q(k) - 6*k/Pi^2 sets a new record minimum, where Q(x) is the number of squarefree numbers up to x.at n=30A339865
• Primes q such that 15*q-4, 15*q-2, 15*q+2 and 15*q+4 are all primes.at n=16A342717
• Emirps p such that (p*q) mod (p+q) is also an emirp, where q is the digit reversal of p.at n=44A355651
• Prime numbersat n=3977