What is the 7740th prime number?
The 7740th prime number is 78901. The next prime is 78919 (a gap of 18) and the one before is 78893.
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 7740th one is 78901.
- 2
78901 is prime because no prime up to ā78901 ā 280.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7740th prime is close to 7740 Ć ln(7740) ā 69305, and here it is 78901.
- 4
78901 has no twin: neither 78899 nor 78903 is prime.
Primes around the 7740th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7737 | 78887 | 10 |
| 7738 | 78889 | 2 |
| 7739 | 78893 | 4 |
| 7740 | 78901 | 8 |
| 7741 | 78919 | 18 |
| 7742 | 78929 | 10 |
| 7743 | 78941 | 12 |
Questions
What is the 7740th prime number?
78901.
Which prime number is 78901?
78901 is the 7740th prime number.
What is the sum of the first 7740 primes?
288,777,453.