What is the 3074th prime number?
The 3074th prime number is 28201. The next prime is 28211 (a gap of 10) and the one before is 28183.
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 3074th one is 28201.
- 2
28201 is prime because no prime up to ā28201 ā 167.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3074th prime is close to 3074 Ć ln(3074) ā 24686, and here it is 28201.
- 4
28201 has no twin: neither 28199 nor 28203 is prime.
Primes around the 3074th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3071 | 28163 | 12 |
| 3072 | 28181 | 18 |
| 3073 | 28183 | 2 |
| 3074 | 28201 | 18 |
| 3075 | 28211 | 10 |
| 3076 | 28219 | 8 |
| 3077 | 28229 | 10 |
Questions
What is the 3074th prime number?
28201.
Which prime number is 28201?
28201 is the 3074th prime number.
What is the sum of the first 3074 primes?
40,704,825.