What is the 275th prime number?
The 275th prime number is 1777. The next prime is 1783 (a gap of 6) and the one before is 1759.
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 275th one is 1777.
- 2
1777 is prime because no prime up to ā1777 ā 42.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 275th prime is close to 275 Ć ln(275) ā 1545, and here it is 1777.
- 4
1777 has no twin: neither 1775 nor 1779 is prime.
Primes around the 275th
| Position | Prime | Gap from the previous |
|---|---|---|
| 272 | 1747 | 6 |
| 273 | 1753 | 6 |
| 274 | 1759 | 6 |
| 275 | 1777 | 18 |
| 276 | 1783 | 6 |
| 277 | 1787 | 4 |
| 278 | 1789 | 2 |
Questions
What is the 275th prime number?
1777.
Which prime number is 1777?
1777 is the 275th prime number.
What is the sum of the first 275 primes?
224,048.