What is the 276th prime number?
The 276th prime number is 1783. The next prime is 1787 (a gap of 4) and the one before is 1777.
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 276th one is 1783.
- 2
1783 is prime because no prime up to ā1783 ā 42.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 276th prime is close to 276 Ć ln(276) ā 1551, and here it is 1783.
- 4
1783 has no twin: neither 1781 nor 1785 is prime.
Primes around the 276th
| Position | Prime | Gap from the previous |
|---|---|---|
| 273 | 1753 | 6 |
| 274 | 1759 | 6 |
| 275 | 1777 | 18 |
| 276 | 1783 | 6 |
| 277 | 1787 | 4 |
| 278 | 1789 | 2 |
| 279 | 1801 | 12 |
Questions
What is the 276th prime number?
1783.
Which prime number is 1783?
1783 is the 276th prime number.
What is the sum of the first 276 primes?
225,831.