What is the 4259th prime number?
The 4259th prime number is 40637. The next prime is 40639 (a gap of 2) and the one before is 40627.
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 4259th one is 40637.
- 2
40637 is prime because no prime up to ā40637 ā 201.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4259th prime is close to 4259 Ć ln(4259) ā 35592, and here it is 40637.
- 4
40637 is a twin prime: 40637 and 40639 are both prime.
Primes around the 4259th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4256 | 40597 | 6 |
| 4257 | 40609 | 12 |
| 4258 | 40627 | 18 |
| 4259 | 40637 | 10 |
| 4260 | 40639 | 2 |
| 4261 | 40693 | 54 |
| 4262 | 40697 | 4 |
Questions
What is the 4259th prime number?
40637.
Which prime number is 40637?
40637 is the 4259th prime number.
What is the sum of the first 4259 primes?
81,428,658.