What is the 3154th prime number?
The 3154th prime number is 29009. The next prime is 29017 (a gap of 8) and the one before is 28979.
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 3154th one is 29009.
- 2
29009 is prime because no prime up to ā29009 ā 170.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3154th prime is close to 3154 Ć ln(3154) ā 25410, and here it is 29009.
- 4
29009 has no twin: neither 29007 nor 29011 is prime.
Primes around the 3154th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3151 | 28949 | 16 |
| 3152 | 28961 | 12 |
| 3153 | 28979 | 18 |
| 3154 | 29009 | 30 |
| 3155 | 29017 | 8 |
| 3156 | 29021 | 4 |
| 3157 | 29023 | 2 |
Questions
What is the 3154th prime number?
29009.
Which prime number is 29009?
29009 is the 3154th prime number.
What is the sum of the first 3154 primes?
42,993,499.