What is the 154th prime number?
The 154th prime number is 887. The next prime is 907 (a gap of 20) and the one before is 883.
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 154th one is 887.
- 2
887 is prime because no prime up to ā887 ā 29.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 154th prime is close to 154 Ć ln(154) ā 776, and here it is 887.
- 4
887 has no twin: neither 885 nor 889 is prime.
Primes around the 154th
| Position | Prime | Gap from the previous |
|---|---|---|
| 151 | 877 | 14 |
| 152 | 881 | 4 |
| 153 | 883 | 2 |
| 154 | 887 | 4 |
| 155 | 907 | 20 |
| 156 | 911 | 4 |
| 157 | 919 | 8 |
Questions
What is the 154th prime number?
887.
Which prime number is 887?
887 is the 154th prime number.
What is the sum of the first 154 primes?
62,797.