What is the 7166th prime number?
The 7166th prime number is 72431. The next prime is 72461 (a gap of 30) and the one before is 72421.
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 7166th one is 72431.
- 2
72431 is prime because no prime up to ā72431 ā 269.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7166th prime is close to 7166 Ć ln(7166) ā 63613, and here it is 72431.
- 4
72431 has no twin: neither 72429 nor 72433 is prime.
Primes around the 7166th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7163 | 72379 | 12 |
| 7164 | 72383 | 4 |
| 7165 | 72421 | 38 |
| 7166 | 72431 | 10 |
| 7167 | 72461 | 30 |
| 7168 | 72467 | 6 |
| 7169 | 72469 | 2 |
Questions
What is the 7166th prime number?
72431.
Which prime number is 72431?
72431 is the 7166th prime number.
What is the sum of the first 7166 primes?
245,337,657.