What is the 4255th prime number?
The 4255th prime number is 40591. The next prime is 40597 (a gap of 6) and the one before is 40583.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 4255th one is 40591.
- 2
40591 is prime because no prime up to ā40591 ā 201.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4255th prime is close to 4255 Ć ln(4255) ā 35554, and here it is 40591.
- 4
40591 has no twin: neither 40589 nor 40593 is prime.
Primes around the 4255th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4252 | 40559 | 16 |
| 4253 | 40577 | 18 |
| 4254 | 40583 | 6 |
| 4255 | 40591 | 8 |
| 4256 | 40597 | 6 |
| 4257 | 40609 | 12 |
| 4258 | 40627 | 18 |
Questions
What is the 4255th prime number?
40591.
Which prime number is 40591?
40591 is the 4255th prime number.
What is the sum of the first 4255 primes?
81,266,188.