What is the 7381st prime number?
The 7381st prime number is 74857. The next prime is 74861 (a gap of 4) and the one before is 74843.
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 7381st one is 74857.
- 2
74857 is prime because no prime up to ā74857 ā 273.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7381st prime is close to 7381 Ć ln(7381) ā 65740, and here it is 74857.
- 4
74857 has no twin: neither 74855 nor 74859 is prime.
Primes around the 7381st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7378 | 74827 | 6 |
| 7379 | 74831 | 4 |
| 7380 | 74843 | 12 |
| 7381 | 74857 | 14 |
| 7382 | 74861 | 4 |
| 7383 | 74869 | 8 |
| 7384 | 74873 | 4 |
Questions
What is the 7381st prime number?
74857.
Which prime number is 74857?
74857 is the 7381st prime number.
What is the sum of the first 7381 primes?
261,175,236.