What is the 4345th prime number?
The 4345th prime number is 41543. The next prime is 41549 (a gap of 6) and the one before is 41539.
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 4345th one is 41543.
- 2
41543 is prime because no prime up to ā41543 ā 203.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4345th prime is close to 4345 Ć ln(4345) ā 36397, and here it is 41543.
- 4
41543 has no twin: neither 41541 nor 41545 is prime.
Primes around the 4345th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4342 | 41519 | 6 |
| 4343 | 41521 | 2 |
| 4344 | 41539 | 18 |
| 4345 | 41543 | 4 |
| 4346 | 41549 | 6 |
| 4347 | 41579 | 30 |
| 4348 | 41593 | 14 |
Questions
What is the 4345th prime number?
41543.
Which prime number is 41543?
41543 is the 4345th prime number.
What is the sum of the first 4345 primes?
84,963,708.