What is the 7420th prime number?
The 7420th prime number is 75307. The next prime is 75323 (a gap of 16) and the one before is 75289.
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 7420th one is 75307.
- 2
75307 is prime because no prime up to ā75307 ā 274.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7420th prime is close to 7420 Ć ln(7420) ā 66127, and here it is 75307.
- 4
75307 has no twin: neither 75305 nor 75309 is prime.
Primes around the 7420th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7417 | 75269 | 16 |
| 7418 | 75277 | 8 |
| 7419 | 75289 | 12 |
| 7420 | 75307 | 18 |
| 7421 | 75323 | 16 |
| 7422 | 75329 | 6 |
| 7423 | 75337 | 8 |
Questions
What is the 7420th prime number?
75307.
Which prime number is 75307?
75307 is the 7420th prime number.
What is the sum of the first 7420 primes?
264,103,395.