What is the 1775th prime number?
The 1775th prime number is 15199. The next prime is 15217 (a gap of 18) and the one before is 15193.
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 1775th one is 15199.
- 2
15199 is prime because no prime up to ā15199 ā 123.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1775th prime is close to 1775 Ć ln(1775) ā 13280, and here it is 15199.
- 4
15199 has no twin: neither 15197 nor 15201 is prime.
Primes around the 1775th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1772 | 15173 | 12 |
| 1773 | 15187 | 14 |
| 1774 | 15193 | 6 |
| 1775 | 15199 | 6 |
| 1776 | 15217 | 18 |
| 1777 | 15227 | 10 |
| 1778 | 15233 | 6 |
Questions
What is the 1775th prime number?
15199.
Which prime number is 15199?
15199 is the 1775th prime number.
What is the sum of the first 1775 primes?
12,613,266.