What is the 7380th prime number?
The 7380th prime number is 74843. The next prime is 74857 (a gap of 14) and the one before is 74831.
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 7380th one is 74843.
- 2
74843 is prime because no prime up to ā74843 ā 273.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7380th prime is close to 7380 Ć ln(7380) ā 65730, and here it is 74843.
- 4
74843 has no twin: neither 74841 nor 74845 is prime.
Primes around the 7380th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7377 | 74821 | 24 |
| 7378 | 74827 | 6 |
| 7379 | 74831 | 4 |
| 7380 | 74843 | 12 |
| 7381 | 74857 | 14 |
| 7382 | 74861 | 4 |
| 7383 | 74869 | 8 |
Questions
What is the 7380th prime number?
74843.
Which prime number is 74843?
74843 is the 7380th prime number.
What is the sum of the first 7380 primes?
261,100,379.