What is the 7167th prime number?
The 7167th prime number is 72461. The next prime is 72467 (a gap of 6) and the one before is 72431.
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 7167th one is 72461.
- 2
72461 is prime because no prime up to ā72461 ā 269.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7167th prime is close to 7167 Ć ln(7167) ā 63623, and here it is 72461.
- 4
72461 has no twin: neither 72459 nor 72463 is prime.
Primes around the 7167th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7164 | 72383 | 4 |
| 7165 | 72421 | 38 |
| 7166 | 72431 | 10 |
| 7167 | 72461 | 30 |
| 7168 | 72467 | 6 |
| 7169 | 72469 | 2 |
| 7170 | 72481 | 12 |
Questions
What is the 7167th prime number?
72461.
Which prime number is 72461?
72461 is the 7167th prime number.
What is the sum of the first 7167 primes?
245,410,118.