What is the 7427th prime number?
The 7427th prime number is 75377. The next prime is 75389 (a gap of 12) and the one before is 75367.
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 7427th one is 75377.
- 2
75377 is prime because no prime up to ā75377 ā 274.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7427th prime is close to 7427 Ć ln(7427) ā 66196, and here it is 75377.
- 4
75377 has no twin: neither 75375 nor 75379 is prime.
Primes around the 7427th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7424 | 75347 | 10 |
| 7425 | 75353 | 6 |
| 7426 | 75367 | 14 |
| 7427 | 75377 | 10 |
| 7428 | 75389 | 12 |
| 7429 | 75391 | 2 |
| 7430 | 75401 | 10 |
Questions
What is the 7427th prime number?
75377.
Which prime number is 75377?
75377 is the 7427th prime number.
What is the sum of the first 7427 primes?
264,630,828.