What is the 153rd prime number?
The 153rd prime number is 883. The next prime is 887 (a gap of 4) and the one before is 881.
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 153rd one is 883.
- 2
883 is prime because no prime up to ā883 ā 29.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 153rd prime is close to 153 Ć ln(153) ā 770, and here it is 883.
- 4
883 is a twin prime: 881 and 883 are both prime.
Primes around the 153rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 150 | 863 | 4 |
| 151 | 877 | 14 |
| 152 | 881 | 4 |
| 153 | 883 | 2 |
| 154 | 887 | 4 |
| 155 | 907 | 20 |
| 156 | 911 | 4 |
Questions
What is the 153rd prime number?
883.
Which prime number is 883?
883 is the 153rd prime number.
What is the sum of the first 153 primes?
61,910.