What is the 3152nd prime number?
The 3152nd prime number is 28961. The next prime is 28979 (a gap of 18) and the one before is 28949.
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 3152nd one is 28961.
- 2
28961 is prime because no prime up to ā28961 ā 170.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3152nd prime is close to 3152 Ć ln(3152) ā 25392, and here it is 28961.
- 4
28961 has no twin: neither 28959 nor 28963 is prime.
Primes around the 3152nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3149 | 28927 | 6 |
| 3150 | 28933 | 6 |
| 3151 | 28949 | 16 |
| 3152 | 28961 | 12 |
| 3153 | 28979 | 18 |
| 3154 | 29009 | 30 |
| 3155 | 29017 | 8 |
Questions
What is the 3152nd prime number?
28961.
Which prime number is 28961?
28961 is the 3152nd prime number.
What is the sum of the first 3152 primes?
42,935,511.