What is the 7142nd prime number?
The 7142nd prime number is 72161. The next prime is 72167 (a gap of 6) and the one before is 72139.
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 7142nd one is 72161.
- 2
72161 is prime because no prime up to ā72161 ā 268.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7142nd prime is close to 7142 Ć ln(7142) ā 63376, and here it is 72161.
- 4
72161 has no twin: neither 72159 nor 72163 is prime.
Primes around the 7142nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7139 | 72103 | 2 |
| 7140 | 72109 | 6 |
| 7141 | 72139 | 30 |
| 7142 | 72161 | 22 |
| 7143 | 72167 | 6 |
| 7144 | 72169 | 2 |
| 7145 | 72173 | 4 |
Questions
What is the 7142nd prime number?
72161.
Which prime number is 72161?
72161 is the 7142nd prime number.
What is the sum of the first 7142 primes?
243,602,797.