This number is a composite.

+ The smallest integer n for which π(n) = n/4. [Woods]

+ The only double-digit number that can be expressed as sum of two distinct primes, each ending with the digit 3, in the largest number n of different ways, (case n=3), i.e., 96 = 13 + 83 = 23 + 73 = 43 + 53. [Loungrides]

+ Every integer greater than 96 may be represented as a sum of distinct super-prime numbers.

+ Do all positive integers appear in Sloane sequence A358527? For example, Giorgos Kalogeropoulos of Greece found the term equal to 96 requires searching the first 24622 odd primes (up to 282241), the most for any 2-digit number. It is currently unknown which 3-digit number requires the most.

Printed from the PrimePages <t5k.org> © G. L. Honaker and Chris K. Caldwell