What is the 274th prime number?
The 274th prime number is 1759. The next prime is 1777 (a gap of 18) and the one before is 1753.
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 274th one is 1759.
- 2
1759 is prime because no prime up to ā1759 ā 41.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 274th prime is close to 274 Ć ln(274) ā 1538, and here it is 1759.
- 4
1759 has no twin: neither 1757 nor 1761 is prime.
Primes around the 274th
| Position | Prime | Gap from the previous |
|---|---|---|
| 271 | 1741 | 8 |
| 272 | 1747 | 6 |
| 273 | 1753 | 6 |
| 274 | 1759 | 6 |
| 275 | 1777 | 18 |
| 276 | 1783 | 6 |
| 277 | 1787 | 4 |
Questions
What is the 274th prime number?
1759.
Which prime number is 1759?
1759 is the 274th prime number.
What is the sum of the first 274 primes?
222,271.