What is the 1766th prime number?
The 1766th prime number is 15121. The next prime is 15131 (a gap of 10) and the one before is 15107.
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 1766th one is 15121.
- 2
15121 is prime because no prime up to ā15121 ā 122.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1766th prime is close to 1766 Ć ln(1766) ā 13203, and here it is 15121.
- 4
15121 has no twin: neither 15119 nor 15123 is prime.
Primes around the 1766th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1763 | 15091 | 8 |
| 1764 | 15101 | 10 |
| 1765 | 15107 | 6 |
| 1766 | 15121 | 14 |
| 1767 | 15131 | 10 |
| 1768 | 15137 | 6 |
| 1769 | 15139 | 2 |
Questions
What is the 1766th prime number?
15121.
Which prime number is 15121?
15121 is the 1766th prime number.
What is the sum of the first 1766 primes?
12,476,797.