What is the 4342nd prime number?
The 4342nd prime number is 41519. The next prime is 41521 (a gap of 2) and the one before is 41513.
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 4342nd one is 41519.
- 2
41519 is prime because no prime up to ā41519 ā 203.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4342nd prime is close to 4342 Ć ln(4342) ā 36369, and here it is 41519.
- 4
41519 is a twin prime: 41519 and 41521 are both prime.
Primes around the 4342nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4339 | 41491 | 12 |
| 4340 | 41507 | 16 |
| 4341 | 41513 | 6 |
| 4342 | 41519 | 6 |
| 4343 | 41521 | 2 |
| 4344 | 41539 | 18 |
| 4345 | 41543 | 4 |
Questions
What is the 4342nd prime number?
41519.
Which prime number is 41519?
41519 is the 4342nd prime number.
What is the sum of the first 4342 primes?
84,839,105.