What is the 4257th prime number?
The 4257th prime number is 40609. The next prime is 40627 (a gap of 18) and the one before is 40597.
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 4257th one is 40609.
- 2
40609 is prime because no prime up to ā40609 ā 201.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4257th prime is close to 4257 Ć ln(4257) ā 35573, and here it is 40609.
- 4
40609 has no twin: neither 40607 nor 40611 is prime.
Primes around the 4257th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4254 | 40583 | 6 |
| 4255 | 40591 | 8 |
| 4256 | 40597 | 6 |
| 4257 | 40609 | 12 |
| 4258 | 40627 | 18 |
| 4259 | 40637 | 10 |
| 4260 | 40639 | 2 |
Questions
What is the 4257th prime number?
40609.
Which prime number is 40609?
40609 is the 4257th prime number.
What is the sum of the first 4257 primes?
81,347,394.