Will a randomly generated integer from 1 to 1 quattuordecillion be prime?
Basic
28
Ṁ3475
Feb 10
3%
chance

On February 9th, I will use random.org to generate the integer. Range is inclusive. 1 quattuordecillion is the number 10^45.

Using the highly accurate approximation Li(x), there are about 9,746 duodecillion prime numbers within the range.

I will not be participating in this market.

  • Update 2025-12-01 (PST) (AI summary of creator comment): Number Generation Method:

    • Using random.org's Integer Set Generator

    • Generating 45 sets of one integer each from 0 to 9 (digit by digit)

    • The number 00...00 (all zeros) is mapped to 10^45

#Math
Get
Ṁ1,000
and
S3.00
Sort by:
bought Ṁ100 NO

Using prime density theorem gives probability 0.96%

@mathvc I'm feeling lucky

bought Ṁ375 NO from 3% to 1.0%

Will you be generating the number digit by digit, or all at once? (Digit by digit would work if 00...00 were mapped to 10^45 -- not that it matters since neither 0 nor 10^45 are prime.)

@Calibrate I just realized that random.org's Integer Generator can only generate random integers from +- a trillion. So yes, I will be generating the number digit by digit, and 00..00 would count as 10^45. Specifically, I will be using the Integer Set Generator to generate 45 sets of one integer each from 0 to 9.

🤖

@luvkprovider your random number is: 1

Salt: wy799puld7, round: 4704007 (signature ab2de4dcd344ebcb6da0154a5efa5cb6c7a732320d6f2e7af3c497429267d05433456655834230d2a38ef006628f316d19d708a19845a1fce8183a9f64dc8b549a571dfba05d1ed79c79cfe1ca2fbcd34a037ac1e66d838440c9e3144720f8ee)

🤖

@luvkprovider you asked for a random integer between 1 and 10, inclusive. Coming up shortly!

Source: GitHub, previous round: 4704005 (latest), offset: 2, selected round: 4704007, salt: wy799puld7.

@FairlyRandom 10

🤖

Not a valid request: No range specified. Try @FairlyRandom 10

bought Ṁ40 NO

@FairlyRandom 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

@MingCat No commas, and max value is 2^48 (281474976710656)

Related questions

© Manifold Markets, Inc.•Terms + Mana-only Terms•Privacy•Rules