What is the 7169th prime number?
The 7169th prime number is 72469. The next prime is 72481 (a gap of 12) and the one before is 72467.
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 7169th one is 72469.
- 2
72469 is prime because no prime up to ā72469 ā 269.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7169th prime is close to 7169 Ć ln(7169) ā 63643, and here it is 72469.
- 4
72469 is a twin prime: 72467 and 72469 are both prime.
Primes around the 7169th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7166 | 72431 | 10 |
| 7167 | 72461 | 30 |
| 7168 | 72467 | 6 |
| 7169 | 72469 | 2 |
| 7170 | 72481 | 12 |
| 7171 | 72493 | 12 |
| 7172 | 72497 | 4 |
Questions
What is the 7169th prime number?
72469.
Which prime number is 72469?
72469 is the 7169th prime number.
What is the sum of the first 7169 primes?
245,555,054.