What is the 3063rd prime number?
The 3063rd prime number is 28081. The next prime is 28087 (a gap of 6) and the one before is 28069.
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 3063rd one is 28081.
- 2
28081 is prime because no prime up to ā28081 ā 167.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3063rd prime is close to 3063 Ć ln(3063) ā 24587, and here it is 28081.
- 4
28081 has no twin: neither 28079 nor 28083 is prime.
Primes around the 3063rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3060 | 28051 | 20 |
| 3061 | 28057 | 6 |
| 3062 | 28069 | 12 |
| 3063 | 28081 | 12 |
| 3064 | 28087 | 6 |
| 3065 | 28097 | 10 |
| 3066 | 28099 | 2 |
Questions
What is the 3063rd prime number?
28081.
Which prime number is 28081?
28081 is the 3063rd prime number.
What is the sum of the first 3063 primes?
40,395,320.