What is the 4260th prime number?
The 4260th prime number is 40639. The next prime is 40693 (a gap of 54) and the one before is 40637.
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 4260th one is 40639.
- 2
40639 is prime because no prime up to ā40639 ā 201.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4260th prime is close to 4260 Ć ln(4260) ā 35601, and here it is 40639.
- 4
40639 is a twin prime: 40637 and 40639 are both prime.
Primes around the 4260th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4257 | 40609 | 12 |
| 4258 | 40627 | 18 |
| 4259 | 40637 | 10 |
| 4260 | 40639 | 2 |
| 4261 | 40693 | 54 |
| 4262 | 40697 | 4 |
| 4263 | 40699 | 2 |
Questions
What is the 4260th prime number?
40639.
Which prime number is 40639?
40639 is the 4260th prime number.
What is the sum of the first 4260 primes?
81,469,297.