What is the 4515th prime number?
The 4515th prime number is 43261. The next prime is 43271 (a gap of 10) and the one before is 43237.
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 4515th one is 43261.
- 2
43261 is prime because no prime up to ā43261 ā 207.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4515th prime is close to 4515 Ć ln(4515) ā 37994, and here it is 43261.
- 4
43261 has no twin: neither 43259 nor 43263 is prime.
Primes around the 4515th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4512 | 43207 | 6 |
| 4513 | 43223 | 16 |
| 4514 | 43237 | 14 |
| 4515 | 43261 | 24 |
| 4516 | 43271 | 10 |
| 4517 | 43283 | 12 |
| 4518 | 43291 | 8 |
Questions
What is the 4515th prime number?
43261.
Which prime number is 43261?
43261 is the 4515th prime number.
What is the sum of the first 4515 primes?
92,167,810.