What is the 7741st prime number?
The 7741st prime number is 78919. The next prime is 78929 (a gap of 10) and the one before is 78901.
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 7741st one is 78919.
- 2
78919 is prime because no prime up to ā78919 ā 280.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7741st prime is close to 7741 Ć ln(7741) ā 69315, and here it is 78919.
- 4
78919 has no twin: neither 78917 nor 78921 is prime.
Primes around the 7741st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7738 | 78889 | 2 |
| 7739 | 78893 | 4 |
| 7740 | 78901 | 8 |
| 7741 | 78919 | 18 |
| 7742 | 78929 | 10 |
| 7743 | 78941 | 12 |
| 7744 | 78977 | 36 |
Questions
What is the 7741st prime number?
78919.
Which prime number is 78919?
78919 is the 7741st prime number.
What is the sum of the first 7741 primes?
288,856,372.