What is the 1769th prime number?
The 1769th prime number is 15139. The next prime is 15149 (a gap of 10) and the one before is 15137.
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 1769th one is 15139.
- 2
15139 is prime because no prime up to ā15139 ā 123.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1769th prime is close to 1769 Ć ln(1769) ā 13229, and here it is 15139.
- 4
15139 is a twin prime: 15137 and 15139 are both prime.
Primes around the 1769th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1766 | 15121 | 14 |
| 1767 | 15131 | 10 |
| 1768 | 15137 | 6 |
| 1769 | 15139 | 2 |
| 1770 | 15149 | 10 |
| 1771 | 15161 | 12 |
| 1772 | 15173 | 12 |
Questions
What is the 1769th prime number?
15139.
Which prime number is 15139?
15139 is the 1769th prime number.
What is the sum of the first 1769 primes?
12,522,204.