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Lowest number pair that doesn't meet?

Started by hotdogPi, March 07, 2021, 08:53:07 AM

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hotdogPi

It was established in a previous thread that state level or higher 10 and 33 intersect nowhere in the US, but there is a county road junction.

What is the lowest number pair (positive integers only, and not the same number twice) in the US that doesn't exist in any form, where the pair is defined by its higher number? (For example, if we were doing state routes only, since we know 10 and 33 don't intersect, we would have to check all pairs where the higher number is 32 or lower, and 33 with 1-9).

US 2 and US 1

MA 3 and US 1
US 3 and US 2

RI 4 and US 1
MA 4 and MA 2
US 4 and US 3

I-5 and CA 1
US 5 and US 2
I-5 and CA 3
US 5 and US 4

US 6 and IL 1
US 6 and OH 2
US 6 and MA 3
...
Clinched

Traveled, plus
US 13, 50
MA 22, 35, 40, 53, 79, 107, 109, 126, 138, 141, 151, 159
NH 27, 78, 111A(E); CA 90; NY 366; GA 42, 140; FL A1A, 7; CT 32, 193, 320; VT 2A, 5A; PA 3, 51, 60, WA 202; QC 162, 165, 263; 🇬🇧A100, A3211, A3213, A3215, A4222; 🇫🇷95 D316

Lowest untraveled: 36


wanderer2575


ari-s-drives

I don't believe that CA1 and CA2 ever meet.

ClassicHasClass

Quote from: ari-s-drives on March 07, 2021, 11:14:45 AM
I don't believe that CA1 and CA2 ever meet.

They don't now, officially, but they used to until 1998 or thereabouts. https://www.cahighways.org/ROUTE002.html

Scott5114

Back in the day, there was a 10/33 junction in eastern Oklahoma. But US-412 took over that section of OK-33.
uncontrollable freak sardine salad chef

SkyPesos

In Ohio, US 33 used to intersect OH 10 in Lancaster, before the latter became part of a US 22 extension from Cambridge to Cincinnati and a new OH 10 was established near Cleveland.

NWI_Irish96

Quote from: 1 on March 07, 2021, 08:53:07 AM
US 2 and US 1

MA 3 and US 1
US 3 and US 2

RI 4 and US 1
MA 4 and MA 2
US 4 and US 3

I-5 and CA 1
US 5 and US 2
I-5 and CA 3
US 5 and US 4

US 6 and IL 1
US 6 and OH 2
US 6 and MA 3
US 6 and OH 4
US 6 and IN 5

US 7 and US 1
US 7 and US 2
IN 7 and IN 3
US 7 and US 4
OH 7 and OH 5
IL 7 and US 6

IN 8 and IN 1
IN 8 and IN 2
IN 8 and IN 3
AK 8 and AK 4
I-8 and I-5
OH 8 and US 6
I-8 and CA 7
Indiana: counties 100%, highways 100%
Illinois: counties 100%, highways 61%
Michigan: counties 100%, highways 56%
Wisconsin: counties 86%, highways 23%

TravelingBethelite

Quote from: 1 on March 07, 2021, 08:53:07 AM
It was established in a previous thread that state level or higher 10 and 33 intersect nowhere in the US, but there is a county road junction.

What is the lowest number pair (positive integers only, and not the same number twice) in the US that doesn't exist in any form, where the pair is defined by its higher number? (For example, if we were doing state routes only, since we know 10 and 33 don't intersect, we would have to check all pairs where the higher number is 32 or lower, and 33 with 1-9).

US 2 and US 1

MA 3 and US 1
US 3 and US 2

RI 4 and US 1
MA 4 and MA 2
US 4 and US 3

I-5 and CA 1
US 5 and US 2
I-5 and CA 3
US 5 and US 4

US 6 and IL 1
US 6 and OH 2
US 6 and MA 3
...

US 1 and CT 2 intersect just short of the state line in Stonington, if I'm not misunderstanding the prompt.
"Imprisoned by the freedom of the road!" - Ronnie Milsap
See my photos at: http://bit.ly/1Qi81ws

Now I decide where I go...

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