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If n is greater than or equal to 48, then there exists a prime between n and 9n/8, exclusive. The smallest even number that can be expressed as a sum of two primes in five different ways (5 + 43, 7 + 41, 11 + 37, 17 + 31, 19 + 29). [Rivera] 48 = (4)! * (8)! [Firoozbakht] 48!_{2} + prime(84) is prime. [Farzannia]
The smallest possible sum for a set of four distinct primes such that the sum of any three is prime: {5, 7, 17, 19}.
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