What is the 7382nd prime number?
The 7382nd prime number is 74861. The next prime is 74869 (a gap of 8) and the one before is 74857.
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 7382nd one is 74861.
- 2
74861 is prime because no prime up to ā74861 ā 273.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7382nd prime is close to 7382 Ć ln(7382) ā 65750, and here it is 74861.
- 4
74861 has no twin: neither 74859 nor 74863 is prime.
Primes around the 7382nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7379 | 74831 | 4 |
| 7380 | 74843 | 12 |
| 7381 | 74857 | 14 |
| 7382 | 74861 | 4 |
| 7383 | 74869 | 8 |
| 7384 | 74873 | 4 |
| 7385 | 74887 | 14 |
Questions
What is the 7382nd prime number?
74861.
Which prime number is 74861?
74861 is the 7382nd prime number.
What is the sum of the first 7382 primes?
261,250,097.