What is the 4346th prime number?
The 4346th prime number is 41549. The next prime is 41579 (a gap of 30) and the one before is 41543.
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 4346th one is 41549.
- 2
41549 is prime because no prime up to ā41549 ā 203.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4346th prime is close to 4346 Ć ln(4346) ā 36406, and here it is 41549.
- 4
41549 has no twin: neither 41547 nor 41551 is prime.
Primes around the 4346th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4343 | 41521 | 2 |
| 4344 | 41539 | 18 |
| 4345 | 41543 | 4 |
| 4346 | 41549 | 6 |
| 4347 | 41579 | 30 |
| 4348 | 41593 | 14 |
| 4349 | 41597 | 4 |
Questions
What is the 4346th prime number?
41549.
Which prime number is 41549?
41549 is the 4346th prime number.
What is the sum of the first 4346 primes?
85,005,257.