What is the 7415th prime number?
The 7415th prime number is 75239. The next prime is 75253 (a gap of 14) and the one before is 75227.
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 7415th one is 75239.
- 2
75239 is prime because no prime up to ā75239 ā 274.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7415th prime is close to 7415 Ć ln(7415) ā 66077, and here it is 75239.
- 4
75239 has no twin: neither 75237 nor 75241 is prime.
Primes around the 7415th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7412 | 75217 | 6 |
| 7413 | 75223 | 6 |
| 7414 | 75227 | 4 |
| 7415 | 75239 | 12 |
| 7416 | 75253 | 14 |
| 7417 | 75269 | 16 |
| 7418 | 75277 | 8 |
Questions
What is the 7415th prime number?
75239.
Which prime number is 75239?
75239 is the 7415th prime number.
What is the sum of the first 7415 primes?
263,727,000.