What is the 7742nd prime number?
The 7742nd prime number is 78929. The next prime is 78941 (a gap of 12) and the one before is 78919.
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 7742nd one is 78929.
- 2
78929 is prime because no prime up to ā78929 ā 280.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7742nd prime is close to 7742 Ć ln(7742) ā 69325, and here it is 78929.
- 4
78929 has no twin: neither 78927 nor 78931 is prime.
Primes around the 7742nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7739 | 78893 | 4 |
| 7740 | 78901 | 8 |
| 7741 | 78919 | 18 |
| 7742 | 78929 | 10 |
| 7743 | 78941 | 12 |
| 7744 | 78977 | 36 |
| 7745 | 78979 | 2 |
Questions
What is the 7742nd prime number?
78929.
Which prime number is 78929?
78929 is the 7742nd prime number.
What is the sum of the first 7742 primes?
288,935,301.