What is the 7042nd prime number?
The 7042nd prime number is 71129. The next prime is 71143 (a gap of 14) and the one before is 71119.
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 7042nd one is 71129.
- 2
71129 is prime because no prime up to ā71129 ā 266.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7042nd prime is close to 7042 Ć ln(7042) ā 62390, and here it is 71129.
- 4
71129 has no twin: neither 71127 nor 71131 is prime.
Primes around the 7042nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7039 | 71081 | 12 |
| 7040 | 71089 | 8 |
| 7041 | 71119 | 30 |
| 7042 | 71129 | 10 |
| 7043 | 71143 | 14 |
| 7044 | 71147 | 4 |
| 7045 | 71153 | 6 |
Questions
What is the 7042nd prime number?
71129.
Which prime number is 71129?
71129 is the 7042nd prime number.
What is the sum of the first 7042 primes?
236,439,049.