What is the 4258th prime number?
The 4258th prime number is 40627. The next prime is 40637 (a gap of 10) and the one before is 40609.
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 4258th one is 40627.
- 2
40627 is prime because no prime up to ā40627 ā 201.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4258th prime is close to 4258 Ć ln(4258) ā 35582, and here it is 40627.
- 4
40627 has no twin: neither 40625 nor 40629 is prime.
Primes around the 4258th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4255 | 40591 | 8 |
| 4256 | 40597 | 6 |
| 4257 | 40609 | 12 |
| 4258 | 40627 | 18 |
| 4259 | 40637 | 10 |
| 4260 | 40639 | 2 |
| 4261 | 40693 | 54 |
Questions
What is the 4258th prime number?
40627.
Which prime number is 40627?
40627 is the 4258th prime number.
What is the sum of the first 4258 primes?
81,388,021.