What is the 1764th prime number?
The 1764th prime number is 15101. The next prime is 15107 (a gap of 6) and the one before is 15091.
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 1764th one is 15101.
- 2
15101 is prime because no prime up to ā15101 ā 122.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1764th prime is close to 1764 Ć ln(1764) ā 13186, and here it is 15101.
- 4
15101 has no twin: neither 15099 nor 15103 is prime.
Primes around the 1764th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1761 | 15077 | 4 |
| 1762 | 15083 | 6 |
| 1763 | 15091 | 8 |
| 1764 | 15101 | 10 |
| 1765 | 15107 | 6 |
| 1766 | 15121 | 14 |
| 1767 | 15131 | 10 |
Questions
What is the 1764th prime number?
15101.
Which prime number is 15101?
15101 is the 1764th prime number.
What is the sum of the first 1764 primes?
12,446,569.