What is the 4256th prime number?
The 4256th prime number is 40597. The next prime is 40609 (a gap of 12) and the one before is 40591.
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 4256th one is 40597.
- 2
40597 is prime because no prime up to ā40597 ā 201.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4256th prime is close to 4256 Ć ln(4256) ā 35563, and here it is 40597.
- 4
40597 has no twin: neither 40595 nor 40599 is prime.
Primes around the 4256th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4253 | 40577 | 18 |
| 4254 | 40583 | 6 |
| 4255 | 40591 | 8 |
| 4256 | 40597 | 6 |
| 4257 | 40609 | 12 |
| 4258 | 40627 | 18 |
| 4259 | 40637 | 10 |
Questions
What is the 4256th prime number?
40597.
Which prime number is 40597?
40597 is the 4256th prime number.
What is the sum of the first 4256 primes?
81,306,785.