What is the 152nd prime number?
The 152nd prime number is 881. The next prime is 883 (a gap of 2) and the one before is 877.
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 152nd one is 881.
- 2
881 is prime because no prime up to ā881 ā 29.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 152nd prime is close to 152 Ć ln(152) ā 764, and here it is 881.
- 4
881 is a twin prime: 881 and 883 are both prime.
Primes around the 152nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 149 | 859 | 2 |
| 150 | 863 | 4 |
| 151 | 877 | 14 |
| 152 | 881 | 4 |
| 153 | 883 | 2 |
| 154 | 887 | 4 |
| 155 | 907 | 20 |
Questions
What is the 152nd prime number?
881.
Which prime number is 881?
881 is the 152nd prime number.
What is the sum of the first 152 primes?
61,027.