What is the 4340th prime number?
The 4340th prime number is 41507. The next prime is 41513 (a gap of 6) and the one before is 41491.
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 4340th one is 41507.
- 2
41507 is prime because no prime up to ā41507 ā 203.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4340th prime is close to 4340 Ć ln(4340) ā 36350, and here it is 41507.
- 4
41507 has no twin: neither 41505 nor 41509 is prime.
Primes around the 4340th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4337 | 41467 | 14 |
| 4338 | 41479 | 12 |
| 4339 | 41491 | 12 |
| 4340 | 41507 | 16 |
| 4341 | 41513 | 6 |
| 4342 | 41519 | 6 |
| 4343 | 41521 | 2 |
Questions
What is the 4340th prime number?
41507.
Which prime number is 41507?
41507 is the 4340th prime number.
What is the sum of the first 4340 primes?
84,756,073.