What is the 155th prime number?
The 155th prime number is 907. The next prime is 911 (a gap of 4) and the one before is 887.
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 155th one is 907.
- 2
907 is prime because no prime up to ā907 ā 30.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 155th prime is close to 155 Ć ln(155) ā 782, and here it is 907.
- 4
907 has no twin: neither 905 nor 909 is prime.
Primes around the 155th
| Position | Prime | Gap from the previous |
|---|---|---|
| 152 | 881 | 4 |
| 153 | 883 | 2 |
| 154 | 887 | 4 |
| 155 | 907 | 20 |
| 156 | 911 | 4 |
| 157 | 919 | 8 |
| 158 | 929 | 10 |
Questions
What is the 155th prime number?
907.
Which prime number is 907?
907 is the 155th prime number.
What is the sum of the first 155 primes?
63,704.