What is the 7387th prime number?
The 7387th prime number is 74897. The next prime is 74903 (a gap of 6) and the one before is 74891.
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 7387th one is 74897.
- 2
74897 is prime because no prime up to ā74897 ā 273.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7387th prime is close to 7387 Ć ln(7387) ā 65800, and here it is 74897.
- 4
74897 has no twin: neither 74895 nor 74899 is prime.
Primes around the 7387th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7384 | 74873 | 4 |
| 7385 | 74887 | 14 |
| 7386 | 74891 | 4 |
| 7387 | 74897 | 6 |
| 7388 | 74903 | 6 |
| 7389 | 74923 | 20 |
| 7390 | 74929 | 6 |
Questions
What is the 7387th prime number?
74897.
Which prime number is 74897?
74897 is the 7387th prime number.
What is the sum of the first 7387 primes?
261,624,514.